\[ y(x) \left (a x^2+b x+c\right )+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0139399 (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 = 0.112 (sec), leaf count = 57
\[y \relax (x ) = c_{1} \WhittakerM \left (-\frac {i b}{2 \sqrt {a}}, \frac {\sqrt {1-4 c}}{2}, 2 i \sqrt {a}\, x \right )+c_{2} \WhittakerW \left (-\frac {i b}{2 \sqrt {a}}, \frac {\sqrt {1-4 c}}{2}, 2 i \sqrt {a}\, x \right )\]