2.572   ODE No. 572

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

\[ f\left (y'(x)\right ) \left (x y'(x)-y(x)\right )^n+y(x) g\left (y'(x)\right )+x h\left (y'(x)\right )=0 \] Mathematica : cpu = 0.0310708 (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))