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:

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

Question 3.
y = Ae^3x + Be^5x.
Solution:
y = Ae^3x + Be^5x
Differentiating w.r.t. x, we get

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

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