\[ f(x) y(x)^2+2 y(x) y''(x)+4 y(x)^2 y'(x)-y'(x)^2+y(x)^4+1=0 \] ✗ Mathematica : cpu = 0.0684135 (sec), leaf count = 0 , could not solve
DSolve[1 + f[x]*y[x]^2 + y[x]^4 + 4*y[x]^2*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+4*y(x)^2*diff(y(x),x)+1+f(x)*y(x)^2+y(x)^4=0,y(x))