\[ y(x) \left (a x^2+b x+c+x f'(x)+f(x)^2-f(x)\right )+2 x f(x) y'(x)+x^2 y''(x)=0 \] ✗ Mathematica : cpu = 300.032 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.181 (sec), leaf count = 69
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-\int \!{\frac {f \left ( x \right ) }{x}}\,{\rm d}x}} \left ( {{\sl W}_{{-{\frac {i}{2}}b{\frac {1}{\sqrt {a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )}{\it \_C2}+{{\sl M}_{{-{\frac {i}{2}}b{\frac {1}{\sqrt {a}}}},\,{\frac {1}{2}\sqrt {1-4\,c}}}\left (2\,i\sqrt {a}x\right )}{\it \_C1} \right ) \right \} \]