2.1705   ODE No. 1705

1. Problem in Latex
2. Mathematica input
3. Maple input

$$-y(x)f^{\prime }(x)+f(x)y^{\prime }(x)+y(x)y^{″}(x)-y^{\prime }(x{)}^2-y(x{)}^3=0$$ ✗ Mathematica : cpu = 0.261782 (sec), leaf count = 0 , could not solve

DSolve[-y[x]^3 - y[x]*Derivative[1][f][x] + f[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+f(x)*diff(y(x),x)-diff(f(x),x)*y(x)-y(x)^3=0,y(x))