## 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.

x^{2} + y^{2} = a^{2}.

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,