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RD Sharma Solution CLass 12 Mathematics Chapter 22 Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.1

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26

Determine the order
and degree of the following differential equations. State also whether they
are linear or non-linear.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

The order of a
differential equation is the order of the highest order derivative appearing
in the equation.

The degree of a
differential equation is the degree of the highest order derivative.

Consider the given
differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

In the above equation,
the order of the highest order derivative is 1.

So the differential
equation is of order 1.

In the above
differential equation, the power of the highest order derivative is 3.

Hence, it is a
differential equation of degree 3.

Since the degree of
the above differential equation is 3, more than one, it is a non-linear
differential equation.

Chapter 22 – Differential Equations Exercise Ex. 22.10

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 55
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 59

dy = cos x (2 – y cosec x) dx

Solution 59

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 62
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 62
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 63

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 63

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.11

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.2

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17

Form the differential equation having y = (sin-1x)2 + A cos -1 x + B, where A and B are arbitrary constants, as its general solution.

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

 

Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 30
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.3

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12

Show that y = ex(A cos x + B sin x) is the solution of the differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.4

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.5

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11

Solve the following differential equation:

(sin x + cos x)dy + (cos x – sin x) dx = 0

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26

solve the following differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.6

Question 1

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 2

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.7

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 38

Solve the following
differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 41

yex/y dx = (xex/y + y2) dy, y ¹ 0

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 42

(1 + y2) tan-1 x dx + 2y (1 + x2)dy = 0

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 43
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 45
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 49
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 50
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 51
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 52
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 54
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 55

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 55

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 58
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 58
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 59
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 59
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 60
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 61
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 62
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 62
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 63
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 63
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 64

Find the equation of a curve passing through the point (0,0) and whose differential equation is Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 64

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 65
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 65

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 66
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 66

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 67
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 67
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 68
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 68

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 69
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 69

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 70

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 70

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.8

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11

Solve the following differential equation.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.9

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 35

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 42
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22RE

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 44

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 46

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 53

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 53

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 54

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 54

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 55

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 55

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 56

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 57

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 59

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 59

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 60

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 60

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 61

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 61

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 62

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 62

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 63

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 63

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 64

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 64

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 65

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 65

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 66

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 66

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 67

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 67

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 68

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 68

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 69

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 69

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 70

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 70

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 71

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 71

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 72

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 72

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 73

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 73

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 74

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 74

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 75

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 75

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 76

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 76

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 77

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 77

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 78

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 78

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 79

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 79

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 80

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 80

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 81

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 81

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 82

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 82

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 83

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 83

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 84

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 84

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 85

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 85

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 86

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 86

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 87

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 87

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 88

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 88

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 89

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 89

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 90

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 90

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 91

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 91

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 92

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 92

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 93

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 93

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 94

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 94

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 95

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 95

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 96

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 96

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 97

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 97

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 98

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 98

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 99

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 99

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 100

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 100

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 101

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 101

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 102

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 102

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 103

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 103

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 104

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 104

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 105

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 105

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 106

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 106

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 107

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 107

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 108

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 108

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 109

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 109

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 110

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 110

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 111

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 111

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 112

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 112

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 20

Write the differential equation
representing family of curves y = mx, where m is arbitrary constant.

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 – Differential Equations Exercise MCQ

Question 1

Mark the correct alternative in each of the following

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 1

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. log y =kx
  2. y =kx
  3. xy =k
  4. y = k log x
Solution 2

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. Sin x
  2. Sec x
  3. Tan x
  4. Cos x
Solution 3

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. ½
  2. 2
  3. 3
  4. 4
Solution 4

Correct option:(b)

Degree is the power of highest order derivative.

Highest order is 2 and its power is 2.

Hence, degree of differential equation is 2.

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. 4
  2. 2
  3. 5
  4. 10

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

NOTE: Answer not matching with back answer.

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. x + y sin x =C
  2. x + y cos x = C
  3. y+ x ( sin x + cos x) = C
  4. y sin x = x + C
Solution 6

Correct option:(d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7

The different equation obtained on eliminating A and B from y = A cos ωt + B sin ωt ,is

  1. Y+ y =0
  2. Y”- ω2y=0
  3. Y”= -ω2 y
  4. Y + y =0
Solution 7

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. x2 = y
  2. y2 = x
  3. x2 = 2y
  4. y2 = 2x

Solution 8

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9

The order of the different equation whose general solution is given by y =c1 cos (2x +c2) – (c3 +c4) ax+c5 + c6  sin (x -c7) is

  1. 3
  2. 4
  3. 5
  4. 2
Solution 9

Correct option: (c)

Here, constants are c1, c2, c3, c4, c5, c6.

But c3+c4 is also constant. Hence, total 5 constants.

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. a = b
  2. a = -b
  3. a =-2b
  4. a =2b
Solution 10

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 11

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. 1
  2. 2
  3. 3
  4. 4
Solution 13

Correct option: (a)

Differential equation contains only one constant hence,

Order of differential equation is 1.

Question 14

The solution of the differential equation y1 y3=y22 is

  1. x= C1eC2y +C3
  2. y= C1 eC2x +C3
  3. 2x= C1 eC2y +C3
  4. None of these
Solution 14

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 16

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. x( y + cos x) = sin x +C
  2. x( y – cos x) = sin x +C
  3. x( y + cos x) = cos x +C
  4. None of these
Solution 18

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 19

The equation of the curve satisfying the differential equation y(x+y3) dx = x(y3-x) dy and passing through the point (1,1) is

  1. y3-2x+3x2y =0
  2. y3+2x+3x2y =0
  3. y3+2x-3x2y =0
  4. None of these
Solution 19

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. Circles
  2. Straight lines
  3. Ellipses
  4. Parabolas
Solution 20

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 21

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 22

The different equation satisfied by ax2+by2=1 is

a. xyy2+y12+yy1=0

b. xyy2+xy12-yy1=0

c. xyy2-xy12+yy1=0

d. none of these

Solution 22

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 23

The different equation which represents the family of curves y = eCx is

  1. y1= C2y
  2. xy1ln y =0
  3. x ln y = yy1
  4. y ln y = xy1
Solution 23

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Note: log is considered same as ln.

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. u = log x
  2. u = ez
  3. u = (log z)-1
  4. u = (log z) 2

Solution 24

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. m = 3, n = 3
  2. m = 3, n =2
  3. m = 3, n =5
  4. m =3, n =1

Solution 26

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 28

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 29

The family of curves in which the subtangent at any point of a curve is double the abscisae, is given by

  1. x =Cy2
  2. y =Cx2
  3. x2 =Cy2
  4. y =Cx
Solution 29

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 30

The solution of the differential equation x dx +y dy =x2y dy -y2 x dx , is

  1. x2-1 = C (1+y2)
  2. x2+1=C (1-y2)
  3. x3-1=C (1+y3)
  4. x3+1=C (1-y3)
Solution 30

Correct option:(a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 31

Correct option:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 32

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. k =0
  2. k > 0
  3. k < 0
  4. none of these
Solution 33

Correct option:(c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. tan-1  x-tan-1 y = tan -1 C
  2. tan-1  y-tan-1 x = tan -1 C
  3. tan-1  y ± tan-1 x = tan C
  4. tan-1  y +tan-1 x = tan -1 C
Solution 34

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 35

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential EquationsRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36

Correct option:(d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. p < q
  2. p = q
  3. p > q
  4. none of these
Solution 37

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Note: Answer not matching with back answer.

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. x
  2. ex
  3. log x
  4. log (log x)
Solution 38

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. sec x + tan x
  2. log (sec x+ tan x)
  3. esec x
  4. sec x
Solution 39

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

(a) cos x

(b) tan x

(c) sec x

(d) sin x

Solution 40

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

(a) 3

(b) 2

(c) 1

(d) Not defined

Solution 41

Correct option: (d)

Highest order derivative is 2 but equation cannot be expressed as a polynomial in differential equation.

Hence, it is not defined.

Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

(a) 2

(b) 1

(c) 0

(d) Not defined

Solution 42

Correct option:(a)

Highest order of the derivative is 2.

Question 43

The number of arbitrary constants in the general solution of differential equation of fourth order is

(a) 0

(b) 2

(c) 3

(d) 4

Solution 43

Correct option: (d)

In the general solution of differential equation of order n has n number of arbitrary constants.

Question 44

The number of arbitrary constants in the particular solution of a differential equation of third order is

(a) 3

(b) 2

(c) 1

(d) 0

Solution 44

Correct option: (d)

The number of arbitrary constants in the particular solution of a differential equation of third order is always zer0.

Question 45

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 46

Which of the following differential equation has y = x as one of its particular solution?

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 46

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 47

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

(a) ex +e-y =C

(b) ex + ey= C

(c) e-x +ey =C

(d) e-x +e-y =C

Solution 47

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 48

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

(a) y = vx

(b) v = yx

(c) x = vy

(d) x = v

Solution 48

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 49

Which of the following is a homogeneous differential equation?

(a) (4x+6y+5) dy-(3y +2x+4) dx =0

(b) xy dx -(x3+y3)dy =0

(c) (x3+2y2)dx+2xy dy =0

(d) y2 dx+(x2-xy-y2) dy =0

Solution 49

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

  1. e-x
  2. e-y
  3. 1/x
  4. x
Solution 50

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 51

Correct option:(d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations