\[ -a y(x)+y''(x)-x y'(x)=0 \] ✓ Mathematica : cpu = 0.00988495 (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 = 0.069 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}\left ({\frac {a}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}x+{\it \_C2}\,{{\sl U}\left ({\frac {a}{2}}+{\frac {1}{2}},\,{\frac {3}{2}},\,{\frac {{x}^{2}}{2}}\right )}x \right \} \]