General solution of differential equation y '' - 3Y '+ 2Y = 3

General solution of differential equation y '' - 3Y '+ 2Y = 3

The characteristic equation is R ^ 2-3r + 2 = 0, r = 1,2
So Y1 = C1E ^ x + c2e ^ (2x)
Obviously, there is a special solution that y2 = 3 / 2
So y = Y1 + y2 = C1E ^ x + c2e ^ (2x) + 3 / 2