\[ 2 y(x)^2 \left (f'(x)+f(x)^2\right )+3 f(x) y(x) y'(x)+2 y(x) y''(x)-y'(x)^2-8 y(x)^3=0 \] ✗ Mathematica : cpu = 0.502798 (sec), leaf count = 0 , could not solve
DSolve[-8*y[x]^3 + 2*y[x]^2*(f[x]^2 + Derivative[1][f][x]) + 3*f[x]*y[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + 2*y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(2*diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+3*f(x)*y(x)*diff(y(x),x)+2*(f(x)^2+diff(f(x),x))*y(x)^2-8*y(x)^3=0,y(x))