\[ \left (a^2 x^2+2\right ) y(x)+x^2 y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0420812 (sec), leaf count = 53
\[\left \{\left \{y(x)\to c_1 x e^{-\sqrt {-a^2} x}+\frac {c_2 x e^{\sqrt {-a^2} x}}{2 \sqrt {-a^2}}\right \}\right \}\]
✓ Maple : cpu = 0.03 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) =x \left ( \cos \left ( ax \right ) {\it \_C2}+\sin \left ( ax \right ) {\it \_C1} \right ) \right \} \]