\[ -\frac {1}{x^5}+4 e^x y'(x)+6 e^x y''(x)+4 \left (e^x+2\right ) y^{(3)}(x)+\left (2 x+e^x\right ) y^{(4)}(x)+e^x y(x)=0 \] ✓ Mathematica : cpu = 0.0473569 (sec), leaf count = 77
\[\left \{\left \{y(x)\to \frac {c_4 x^3}{2 x+e^x}+\frac {c_3 x^2}{2 x+e^x}+\frac {1}{24 \left (2 x+e^x\right ) x}+\frac {c_2 x}{2 x+e^x}+\frac {c_1}{2 x+e^x}\right \}\right \}\] ✓ Maple : cpu = 0.163 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {24\,{\it \_C1}\,{x}^{4}+24\,{\it \_C2}\,{x}^{3}+24\,{\it \_C3}\,{x}^{2}+24\,{\it \_C4}\,x+1}{ \left ( 24\,{{\rm e}^{x}}+48\,x \right ) x}} \right \} \]