Solve the differential equation [CBSE 2014]

Compare with we get and

This is a linear differential equation where P and Q are functions of x

For the solution of the linear differential equation, we first need to find the integrating factor

⇒ IF = e^∫Pdx

The solution of linear differential equation is given by y(IF) = ∫Q(IF)dx + c

Substituting values for Q and IF

Let tan^-1x = t

Differentiating with respect to x

Hence

Resubstitute t

Hence solution of the given differential equation is