Solve the following differential equations :
(i) iIf a differential equation is ,
then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e∫Pdx
(ii) ∫dx = x + c
(iv)
Given:-
This is a linear differential equation, comparing it with
I.F = e∫Pdx
= (x2 + 1)2
Solution of the equation is given by
y(I.F) = ∫Q.(I.F)dx + c
⇒ y(x2 + 1)2 = –∫ dx + c
⇒ y(x2 + 1)2 = –x + c