\[ a x y'(x)+b y(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0125575 (sec), leaf count = 57
\[\left \{\left \{y(x)\to x^{\frac {1}{2} \left (-\sqrt {a^2-2 a-4 b+1}-a+1\right )} \left (c_2 x^{\sqrt {a^2-2 a-4 b+1}}+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.029 (sec), leaf count = 53
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{-{\frac {a}{2}}+{\frac {1}{2}}+{\frac {1}{2}\sqrt {{a}^{2}-2\,a-4\,b+1}}}+{\it \_C2}\,{x}^{-{\frac {a}{2}}+{\frac {1}{2}}-{\frac {1}{2}\sqrt {{a}^{2}-2\,a-4\,b+1}}} \right \} \]