\[ f(x) y(x)+\left (x^2-1\right ) y''(x)+x y'(x)=0 \] ✗ Mathematica : cpu = 0.527588 (sec), leaf count = 0 , could not solve
DSolve[f[x]*y[x] + x*Derivative[1][y][x] + (-1 + x^2)*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol
\[\left \{y \left (x \right ) = \mathit {DESol}\left (\left \{\frac {x \left (\frac {d}{d x}\textit {\_Y} \left (x \right )\right )}{x^{2}-1}+\frac {\textit {\_Y} \left (x \right ) f \left (x \right )}{x^{2}-1}+\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\right \}\]