\[ f(x) \left (x^2 y''(x)-2 x y'(x)+2 y(x)\right )+y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 0.0841734 (sec), leaf count = 0 , could not solve
DSolve[f[x]*(2*y[x] - 2*x*Derivative[1][y][x] + x^2*Derivative[2][y][x]) + Derivative[3][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.299 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) = \left ( \int \!{\it \_C1}+{\it \_C2}\,\int \!{{\rm e}^{-\int \!{x}^{2}f \left ( x \right ) +3\,{x}^{-1}\,{\rm d}x}}\,{\rm d}x\,{\rm d}x+{\it \_C3} \right ) x \right \} \]