\[ -n y(x)+x y'(x)+y''(x)=0 \] ✓ Mathematica : cpu = 0.007098 (sec), leaf count = 61
\[\left \{\left \{y(x)\to c_1 e^{-\frac {x^2}{2}} H_{-n-1}\left (\frac {x}{\sqrt {2}}\right )+c_2 e^{-\frac {x^2}{2}} \, _1F_1\left (\frac {n+1}{2};\frac {1}{2};\frac {x^2}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.334 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {{x}^{2}}{2}}}}x \left ( {{\sl U}\left ({\frac {n}{2}}+1,\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C2}+{{\sl M}\left ({\frac {n}{2}}+1,\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C1} \right ) \right \} \]