\[ f\left (y'(x)\right ) \left (x y'(x)-y(x)\right )^n+y(x) g\left (y'(x)\right )+x h\left (y'(x)\right )=0 \] ✗ Mathematica : cpu = 0.065879 (sec), leaf count = 0
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]
, 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
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))
, 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))