\[ a x^2 y'(x)+f(x) y(x)+x^2 y''(x)=0 \] ✗ Mathematica : cpu = 0.26733 (sec), leaf count = 0 , could not solve
DSolve[f[x]*y[x] + a*x^2*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
\[\left \{y \relax (x ) = \mathit {DESol}\left (\left \{a \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )+\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+\frac {\textit {\_Y} \relax (x ) f \relax (x )}{x^{2}}\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\right \}\]