\[ (n+1) y(x)+y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.0108278 (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 = 0.141 (sec), leaf count = 41
\[\left \{y \left (x \right ) = \left (c_{1} \KummerM \left (-\frac {n}{2}+\frac {1}{2}, \frac {3}{2}, \frac {x^{2}}{2}\right )+c_{2} \KummerU \left (-\frac {n}{2}+\frac {1}{2}, \frac {3}{2}, \frac {x^{2}}{2}\right )\right ) x \,{\mathrm e}^{-\frac {x^{2}}{2}}\right \}\]