RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Find the differential equation of the following groups :

Question 1.
y = ax + \(\frac { b }{ x } \)
Solution:
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 2.
x2 + y2 = a2.
Solution:
Differentiating given equation w.r.t. x, we get

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 3.
y = Ae3x + Be5x.
Solution:
y = Ae3x + Be5x
Differentiating w.r.t. x, we get
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 4.
y = ex [a cos x + B sin x] …..(1)
Solution:

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

Question 5.
y = a cos (x + b), where ‘a’ and ‘b’ are arbitrary constant.
Solution:
y = a cos (x + b)
Differentiating w.r.t. x,
RBSE Solutions for Class 12 Maths Chapter 12 Differential Equation Ex 12.2

RBSE Solutions for Class 12 Maths