\[ -a y(x)+y''(x)-x y'(x)=0 \] ✓ Mathematica : cpu = 0.0058615 (sec), leaf count = 39
\[\left \{\left \{y(x)\to c_1 H_{-a}\left (\frac {x}{\sqrt {2}}\right )+c_2 \, _1F_1\left (\frac {a}{2};\frac {1}{2};\frac {x^2}{2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.07 (sec), leaf count = 35
\[y \relax (x ) = x \left (\KummerU \left (\frac {1}{2}+\frac {a}{2}, \frac {3}{2}, \frac {x^{2}}{2}\right ) c_{2}+\KummerM \left (\frac {1}{2}+\frac {a}{2}, \frac {3}{2}, \frac {x^{2}}{2}\right ) c_{1}\right )\]