Find the general solution of each of the following equations. (a) x^2y' + 3xy =1 (b) (1+e^x)y' + 2e^xy = (1+e^x)e^x (c) y' = cos x - y tan x

Question. Find the general solution of each of the following equations.

(a) x²y' + 3xy =1
(b) (1+e^x)y' + 2e^xy = (1+ex)e^x
(c) y' = cos x - y tan x

Solution.