\[ -2 \left (x^2-a\right ) y'(x)+2 n x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0654232 (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 = 0.092 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}\left (-{\frac {n}{2}},\,{\frac {1}{2}}+a,\,{x}^{2}\right )}+{\it \_C2}\,{{\sl U}\left (-{\frac {n}{2}},\,{\frac {1}{2}}+a,\,{x}^{2}\right )} \right \} \]