2.572   ODE No. 572

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

$$f(y^{\prime }(x)){(x{y}^{\prime }(x)-y(x))}^n+y(x)g(y^{\prime }(x))+xh(y^{\prime }(x))=0$$ ✗ Mathematica : cpu = 0.0309085 (sec), leaf count = 0 , could not solve

DSolve[x*h[Derivative[1][y][x]] + g[Derivative[1][y][x]]*y[x] + f[Derivative[1][y][x]]*(-y[x] + x*Derivative[1][y][x])^n == 0, y[x], x]

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

dsolve((x*diff(y(x),x)-y(x))^n*f(diff(y(x),x))+y(x)*g(diff(y(x),x))+x*h(diff(y(x),x))=0,y(x))