\[ y(x) \left (a x^2+b\right )+x^2 y''(x)+2 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0160877 (sec), leaf count = 58
\[\left \{\left \{y(x)\to c_1 j_{\frac {1}{2} \left (\sqrt {1-4 b}-1\right )}\left (\sqrt {a} x\right )+c_2 y_{\frac {1}{2} \left (\sqrt {1-4 b}-1\right )}\left (\sqrt {a} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.214 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) ={ \left ( {\it \_C2}\,{{\sl Y}_{{\frac {1}{2}\sqrt {1-4\,b}}}\left (\sqrt {a}x\right )}+{\it \_C1}\,{{\sl J}_{{\frac {1}{2}\sqrt {1-4\,b}}}\left (\sqrt {a}x\right )} \right ) {\frac {1}{\sqrt {x}}}} \right \} \]