\[ y^{(4)}(x)+2 y^{(3)}(x)-3 y''(x)-4 y'(x)+4 y(x)-32 \sin (2 x)+24 \cos (2 x)=0 \] ✓ Mathematica : cpu = 0.200699 (sec), leaf count = 40
\[\left \{\left \{y(x)\to e^{-2 x} \left (c_2 x+c_3 e^{3 x}+c_4 e^{3 x} x+c_1\right )+\sin (2 x)\right \}\right \}\]
✓ Maple : cpu = 0.143 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) = \left ( {\it \_C4}\,x+{\it \_C2} \right ) {{\rm e}^{-2\,x}}+\sin \left ( 2\,x \right ) + \left ( {\it \_C3}\,x+{\it \_C1} \right ) {{\rm e}^{x}} \right \} \]