\[ y(x) (a x+b)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0661289 (sec), leaf count = 212
\[\left \{\left \{y(x)\to c_2 a^{\frac {1}{2} \left (\sqrt {1-4 b}+1\right )-\frac {1}{2} \sqrt {1-4 b}} x^{\frac {1}{2} \left (\sqrt {1-4 b}+1\right )-\frac {1}{2} \sqrt {1-4 b}} \Gamma \left (\sqrt {1-4 b}+1\right ) J_{\sqrt {1-4 b}}\left (2 \sqrt {a} \sqrt {x}\right )+c_1 a^{\frac {1}{2} \left (1-\sqrt {1-4 b}\right )+\frac {1}{2} \sqrt {1-4 b}} x^{\frac {1}{2} \left (1-\sqrt {1-4 b}\right )+\frac {1}{2} \sqrt {1-4 b}} \Gamma \left (1-\sqrt {1-4 b}\right ) J_{-\sqrt {1-4 b}}\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\]
✓ Maple : cpu = 0.015 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}{{\sl J}_{\sqrt {-4\,b+1}}\left (2\,\sqrt {a}\sqrt {x}\right )}+{\it \_C2}\,\sqrt {x}{{\sl Y}_{\sqrt {-4\,b+1}}\left (2\,\sqrt {a}\sqrt {x}\right )} \right \} \]