\[ a x^2 y'(x)+x^2 y''(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0235396 (sec), leaf count = 80
\[\left \{\left \{y(x)\to -\frac {a x^{3/2} e^{-\frac {a x}{2}} \left (2 \left (2 c_1+i a c_2 x\right ) \sinh \left (\frac {a x}{2}\right )-2 \left (a c_1 x+2 i c_2\right ) \cosh \left (\frac {a x}{2}\right )\right )}{\sqrt {\pi } (-i a x)^{5/2}}\right \}\right \}\]
✓ Maple : cpu = 0.023 (sec), leaf count = 28
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\, \left ( ax+2 \right ) {{\rm e}^{-ax}}+{\it \_C1}\, \left ( ax-2 \right ) }{x}} \right \} \]