\[ -n y(x)+y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.0064842 (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 = 0.07 (sec), leaf count = 41
\[y \relax (x ) = {\mathrm e}^{-\frac {x^{2}}{2}} x \left (\KummerU \left (\frac {n}{2}+1, \frac {3}{2}, \frac {x^{2}}{2}\right ) c_{2}+\KummerM \left (\frac {n}{2}+1, \frac {3}{2}, \frac {x^{2}}{2}\right ) c_{1}\right )\]