\[ (n+1) y(x)+y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.0102891 (sec), leaf count = 55
\[\left \{\left \{y(x)\to c_1 e^{-\frac {x^2}{2}} H_n\left (\frac {x}{\sqrt {2}}\right )+c_2 e^{-\frac {x^2}{2}} \, _1F_1\left (-\frac {n}{2};\frac {1}{2};\frac {x^2}{2}\right )\right \}\right \}\]
✓ Maple : cpu = 0.071 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {{x}^{2}}{2}}}}{{\sl M}\left (-{\frac {n}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}x+{\it \_C2}\,{{\rm e}^{-{\frac {{x}^{2}}{2}}}}{{\sl U}\left (-{\frac {n}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}x \right \} \]