\[ y^{(4)}(x)+2 y^{(3)}(x)-3 y''(x)-4 y'(x)+4 y(x)-32 \sin (2 x)+24 \cos (2 x)=0 \] ✓ Mathematica : cpu = 0.588775 (sec), leaf count = 40
\[\left \{\left \{y(x)\to \sin (2 x)+c_1 e^{-2 x}+c_2 e^{-2 x} x+c_3 e^x+c_4 e^x x\right \}\right \}\] ✓ Maple : cpu = 0.111 (sec), leaf count = 27
\[y \relax (x ) = \left (x c_{4}+c_{2}\right ) {\mathrm e}^{-2 x}+\sin \left (2 x \right )+\left (x c_{3}+c_{1}\right ) {\mathrm e}^{x}\]