\[ \left (a^2 x^2+2\right ) y(x)+x^2 y''(x)-2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0178435 (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 = 0.033 (sec), leaf count = 19
\[\{y \left (x \right ) = \left (c_{1} \sin \left (a x \right )+c_{2} \cos \left (a x \right )\right ) x\}\]