2.1705   ODE No. 1705

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

\[ -y(x) f'(x)+f(x) y'(x)+y(x) y''(x)-y'(x)^2-y(x)^3=0 \] Mathematica : cpu = 0.224414 (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))