2.575   ODE No. 575

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

$$y^{\prime }(x)f(xy(x)y^{\prime }(x)-y(x{)}^2)+x^2(-y^{\prime }(x))+xy(x)=0$$ ✗ Mathematica : cpu = 0.0314835 (sec), leaf count = 0 , could not solve

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

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

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