\[ a x y'(x)+b y(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0105603 (sec), leaf count = 99
\[\left \{\left \{y(x)\to c_1 x^{\frac {1}{2} \sqrt {b} \left (-\frac {\sqrt {a^2-2 a-4 b+1}}{\sqrt {b}}-\frac {a-1}{\sqrt {b}}\right )}+c_2 x^{\frac {1}{2} \sqrt {b} \left (\frac {\sqrt {a^2-2 a-4 b+1}}{\sqrt {b}}-\frac {a-1}{\sqrt {b}}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.079 (sec), leaf count = 53
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{-{\frac {a}{2}}+{\frac {1}{2}}+{\frac {1}{2}\sqrt {{a}^{2}-2\,a-4\,b+1}}}+{\it \_C2}\,{x}^{-{\frac {a}{2}}+{\frac {1}{2}}-{\frac {1}{2}\sqrt {{a}^{2}-2\,a-4\,b+1}}} \right \} \]