\[ y(x) \left (a^2 x+2 a b\right )-2 (a x+b) y'(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.121547 (sec), leaf count = 77
\[\left \{\left \{y(x)\to c_1 e^{a x} x^{b-\frac {1}{2} \sqrt {(2 b+1)^2}+\frac {1}{2}}+\frac {c_2 e^{a x} x^{b+\frac {1}{2} \sqrt {(2 b+1)^2}+\frac {1}{2}}}{\sqrt {(2 b+1)^2}}\right \}\right \}\] ✓ Maple : cpu = 0.106 (sec), leaf count = 20
\[ \left \{ y \left ( x \right ) ={{\rm e}^{ax}} \left ( {x}^{2\,b+1}{\it \_C2}+{\it \_C1} \right ) \right \} \]