2.395   ODE No. 395

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

\[ 2 f(x) y(x) y'(x)+g(x) y(x)^2+h(x)+y'(x)^2=0 \] Mathematica : cpu = 28.9336 (sec), leaf count = 0 , could not solve

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

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

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