Solve the following differential equations :
Formula:-
(i)∫[f(x) + f’(x)]exdx = f(x)ex + c
(ii) If a differential equation is ,
then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e∫Pdx
(iii) ∫dx = x + c
Given:
This is a linear differential equation, comparing it with
I.F = e∫Pdx
= e–log|x|
Solution of the equation is given by
y(I.F) = ∫Q.(I.F)dx + c
using formula(v)
⇒ y = ex + cx