Question

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

Answer 1

Consider this option.
Note,
1. that answer is 
$y=C_1e^x+C_2cos2x+C_3sin2x- \frac{5}{4}x- \frac{5}{4}+ \frac{1}{10}e^{-x}+ \frac{3}{80} cos3x+ \frac{1}{80}sin3x$
2. if it is possible check the result in other sources.