\[ a x y'(x)+b y(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0099878 (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 = 0.011 (sec), leaf count = 53
\[\left \{y \left (x \right ) = c_{1} x^{-\frac {a}{2}+\frac {1}{2}+\frac {\sqrt {a^{2}-2 a -4 b +1}}{2}}+c_{2} x^{-\frac {a}{2}+\frac {1}{2}-\frac {\sqrt {a^{2}-2 a -4 b +1}}{2}}\right \}\]