\[ y(x)^2 \left (\frac {f''(x)}{f(x)}-\frac {f'(x)^2}{f(x)^2}\right )+f(x) y(x)^3+y(x) y''(x)-y'(x)^2-y'(x)=0 \] ✗ Mathematica : cpu = 9.01233 (sec), leaf count = 0
DSolve[f[x]*y[x]^3 - Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]^2*(-(Derivative[1][f][x]^2/f[x]^2) + Derivative[2][f][x]/f[x]) + y[x]*Derivative[2][y][x] == 0,y[x],x]
, could not solve
DSolve[f[x]*y[x]^3 - Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]^2*(-(Derivative[1][f][x]^2/f[x]^2) + Derivative[2][f][x]/f[x]) + y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2-diff(y(x),x)+f(x)*y(x)^3+y(x)^2*(diff(diff(f(x),x),x)/f(x)-diff(f(x),x)^2/f(x)^2)=0,y(x))
, could not solve
dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2-diff(y(x),x)+f(x)*y(x)^3+y(x)^2*(diff(diff(f(x),x),x)/f(x)-diff(f(x),x)^2/f(x)^2)=0,y(x))