Q19 of 45 Page 1

Solve the differential equation



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



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