\[ \left (a^2 x^2+2\right ) y(x)+x^2 y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0167402 (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 = 0.032 (sec), leaf count = 19
\[y \relax (x ) = x \left (\cos \left (a x \right ) c_{2}+\sin \left (a x \right ) c_{1}\right )\]