\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( a{x}^{2}+b \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.022503 (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 = 0.031 (sec), leaf count = 45 \[ \left \{ y \left ( x \right ) ={{\it \_C1}{{\sl J}_{{\frac {1}{2}\sqrt { 1-4\,b}}}\left (\sqrt {a}x\right )}{\frac {1}{\sqrt {x}}}}+{{\it \_C2}{ {\sl Y}_{{\frac {1}{2}\sqrt {1-4\,b}}}\left (\sqrt {a}x\right )}{\frac { 1}{\sqrt {x}}}} \right \} \]