\[ -a y(x)+y''(x)-x y'(x)=0 \] ✓ Mathematica : cpu = 0.00984623 (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 = 0.077 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) =x \left ( {{\sl U}\left ({\frac {1}{2}}+{\frac {a}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C2}+{{\sl M}\left ({\frac {1}{2}}+{\frac {a}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}{\it \_C1} \right ) \right \} \]