\[ -\frac {1}{x^5}+\left (2 x+e^x\right ) y^{(4)}(x)+4 \left (e^x+2\right ) y^{(3)}(x)+6 e^x y''(x)+4 e^x y'(x)+e^x y(x)=0 \] ✗ Mathematica : cpu = 0.0721759 (sec), leaf count = 0 , could not solve
DSolve[-x^(-5) + E^x*y[x] + 4*E^x*Derivative[1][y][x] + 6*E^x*Derivative[2][y][x] + 4*(2 + E^x)*Derivative[3][y][x] + (E^x + 2*x)*Derivative[4][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.06 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {24\,{\it \_C1}\,{x}^{4}+24\,{\it \_C2}\,{x}^{3}+24\,{\it \_C3}\,{x}^{2}+24\,{\it \_C4}\,x+1}{ \left ( 24\,{{\rm e}^{x}}+48\,x \right ) x}} \right \} \]