Solve the following differential equations :

(i) If a differential equation is ,

then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e^∫Pdx

(ii) ∫dx = x + c

Given:-

This is a linear differential equation, comparing it with

Q = x³

I.F = e^∫Pdx

= e^logx

= x

Solution of the equation is given by

y(I.F) = ∫Q.(I.F)dx + c

⇒ yx = ∫ x³xdx + c