Q. 195.0( 2 Votes )

Solve the differe

Answer :

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


Resubstitute t

Hence solution of the given differential equation is

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