\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( a{x}^{2}+bx+c \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.020002 (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 = 0.094 (sec), leaf count = 57 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}_{{-{\frac {i}{2}}b{ \frac {1}{\sqrt {a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )}+{\it \_C2}\,{{\sl W}_{{-{\frac {i}{2}}b{\frac {1}{\sqrt { a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )} \right \} \]