2.395   ODE No. 395

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

\[ 2 \text {Global$\grave { }$f}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$g}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2+\text {Global$\grave { }$h}(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2=0 \] Mathematica : cpu = 32.0549 (sec), leaf count = 0 , could not solve

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