\[ -y(x) \left (a b+b^2 x^2\right )+a y'(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 14.394 (sec), leaf count = 42
\[\left \{\left \{y(x)\to c_2 e^{b x} \int _1^x e^{\frac {a}{K[1]}-2 b K[1]} \, dK[1]+c_1 e^{b x}\right \}\right \}\]
✓ Maple : cpu = 0.251 (sec), leaf count = 180
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {-b{x}^{2}+a}{x}}}}{\it HeunD} \left ( 4\,\sqrt {2}\sqrt {ab},-1-4\,\sqrt {2}\sqrt {ab},8\,\sqrt {2}\sqrt {ab},-4\,\sqrt {2}\sqrt {ab}+1,{1 \left ( \sqrt {2}\sqrt {ab}x-a \right ) \left ( \sqrt {2}\sqrt {ab}x+a \right ) ^{-1}} \right ) \sqrt {x}+{\it \_C2}\,{{\rm e}^{bx}}{\it HeunD} \left ( -4\,\sqrt {2}\sqrt {ab},-1-4\,\sqrt {2}\sqrt {ab},8\,\sqrt {2}\sqrt {ab},-4\,\sqrt {2}\sqrt {ab}+1,{1 \left ( \sqrt {2}\sqrt {ab}x-a \right ) \left ( \sqrt {2}\sqrt {ab}x+a \right ) ^{-1}} \right ) \sqrt {x} \right \} \]