Find the general solutions of the differential equations. If an initial condition is given, find the corresponding particular solution. Throughout,...

Find the general solutions of the differential equations. If an initial condition is given, find the corresponding particular solution. Throughout, primes denote derivatives with respect to x.

a) y'-2y=3e^2x, y(0)=0

b) xy' +5y=7x^2, y(2)=5

c)xy'-3y=x^3, y(1)=10

d) y'=(1-y)cosx, y(pi)=2