\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\, \left ( {x}^{2}-a \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,nxy \left ( x \right ) =0} \]
Mathematica: cpu = 0.063008 (sec), leaf count = 65 \[ \left \{\left \{y(x)\to c_1 \, _1F_1\left (-\frac {n}{2};a+\frac {1}{2};x^2\right )+i^{1-2 a} c_2 x^{1-2 a} \, _1F_1\left (-a-\frac {n}{2}+\frac {1}{2};\frac {3}{2}-a;x^2\right )\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}\left (-{\frac {n}{2}} ,\,{\frac {1}{2}}+a,\,{x}^{2}\right )}+{\it \_C2}\,{{\sl U}\left (-{ \frac {n}{2}},\,{\frac {1}{2}}+a,\,{x}^{2}\right )} \right \} \]