Solve the following differential equations :

Formula:-


(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



P = 2,



I.F = e∫Pdx


= e∫2Pdx


= e2x


Solution of the equation is given by


y(I.F) = ∫Q.(I.F)dx + c






2