2.1545   ODE No. 1545

\[ y^{(4)}(x)+2 y^{(3)}(x)-3 y''(x)-4 y'(x)+4 y(x)-32 \sin (2 x)+24 \cos (2 x)=0 \]

✓ Mathematica : cpu = 0.0107901 (sec), leaf count = 40

DSolve[24*Cos[2*x] - 32*Sin[2*x] + 4*y[x] - 4*Derivative[1][y][x] - 3*Derivative[2][y][x] + 2*Derivative[3][y][x] + Derivative[4][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \sin (2 x)+c_1 e^{-2 x}+c_2 e^{-2 x} x+c_3 e^x+c_4 e^x x\right \}\right \}\]

✓ Maple : cpu = 0.4 (sec), leaf count = 27

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)+2*diff(diff(diff(y(x),x),x),x)-3*diff(diff(y(x),x),x)-4*diff(y(x),x)+4*y(x)-32*sin(2*x)+24*cos(2*x)=0,y(x))
 

\[y \left (x \right ) = \left (c_{4} x +c_{2} \right ) {\mathrm e}^{-2 x}+\sin \left (2 x \right )+\left (c_{3} x +c_{1} \right ) {\mathrm e}^{x}\]