\[ y^{(4)}(x)+2 y^{(3)}(x)-3 y''(x)-4 y'(x)+4 y(x)-32 \sin (2 x)+24 \cos (2 x)=0 \] ✓ Mathematica : cpu = 0.171871 (sec), leaf count = 40
\[\left \{\left \{y(x)\to c_1 e^{-2 x}+c_2 e^{-2 x} x+c_3 e^x+c_4 e^x x+\sin (2 x)\right \}\right \}\]
✓ Maple : cpu = 0.078 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) =\sin \left ( 2\,x \right ) +{\it \_C1}\,{{\rm e}^{x}}+{\it \_C2}\,{{\rm e}^{-2\,x}}+{\it \_C3}\,x{{\rm e}^{x}}+{\it \_C4}\,{{\rm e}^{-2\,x}}x \right \} \]