Question

General solution for y'''-y''+4y'-4y=5x-e^(-x)+sin(3x)

Answer 1

Consider this option.
Note,
1. that answer is

`y=C_1e^x+C_2cos2x+C_3sin2x- (5)/(4)x- (5)/(4)+ (1)/(10)e^(-x)+ (3)/(80) cos3x+ (1)/(80)sin3x`
2. if it is possible check the result in other sources.