\[ a y(x)+y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.00801016 (sec), leaf count = 31
\[\left \{\left \{y(x)\to c_1 H_{\frac {a}{2}}(x)+c_2 \, _1F_1\left (-\frac {a}{4};\frac {1}{2};x^2\right )\right \}\right \}\]
✓ Maple : cpu = 0.08 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) =x \left ( {{\sl U}\left ({\frac {1}{2}}-{\frac {a}{4}},\,{\frac {3}{2}},\,{x}^{2}\right )}{\it \_C2}+{{\sl M}\left ({\frac {1}{2}}-{\frac {a}{4}},\,{\frac {3}{2}},\,{x}^{2}\right )}{\it \_C1} \right ) \right \} \]