\[ -a x^2+x^2 y''(x)+x y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0178323 (sec), leaf count = 44
\[\left \{\left \{y(x)\to \frac {a x^2}{3}+\frac {c_1 \left (x^2+1\right )}{2 x}+\frac {i c_2 \left (x^2-1\right )}{2 x}\right \}\right \}\]
✓ Maple : cpu = 0.015 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) =x{\it \_C2}+{\frac {a{x}^{2}}{3}}+{\frac {{\it \_C1}}{x}} \right \} \]