\[ \left (a^2 x^2+2\right ) y(x)+x^2 y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0226504 (sec), leaf count = 38
\[\left \{\left \{y(x)\to c_1 x e^{-i a x}-\frac {i c_2 x e^{i a x}}{2 a}\right \}\right \}\]
✓ Maple : cpu = 0.052 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) =x \left ( \sin \left ( ax \right ) {\it \_C1}+\cos \left ( ax \right ) {\it \_C2} \right ) \right \} \]