\[ x y''(x)+2 y'(x)-x y(x)-e^x=0 \] ✓ Mathematica : cpu = 0.0307061 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \frac {c_1 e^{-x}}{x}+\frac {c_2 e^x}{2 x}+\frac {e^x (2 x-1)}{4 x}\right \}\right \}\]
✓ Maple : cpu = 0.039 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\frac {\sinh \left ( x \right ) {\it \_C2}}{x}}+{\frac {\cosh \left ( x \right ) {\it \_C1}}{x}}+{\frac {{{\rm e}^{x}}}{2}} \right \} \]