\[ y(x) \left (a x^2+b x+c\right )+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0151721 (sec), leaf count = 88
\[\left \{\left \{y(x)\to c_1 M_{-\frac {i b}{2 \sqrt {a}},-\frac {1}{2} i \sqrt {4 c-1}}\left (2 i \sqrt {a} x\right )+c_2 W_{-\frac {i b}{2 \sqrt {a}},-\frac {1}{2} i \sqrt {4 c-1}}\left (2 i \sqrt {a} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.318 (sec), leaf count = 57
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{{-{\frac {i}{2}}b{\frac {1}{\sqrt {a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )}+{\it \_C2}\,{{\sl W}_{{-{\frac {i}{2}}b{\frac {1}{\sqrt {a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )} \right \} \]