Re: Exact solution of y' ' (x) - k*y(x)*( 1 - (y ' (x) )^4) = 0



probleman wrote:

Hi;

I tried all the methods that I know and learned yet, but I could not
find it. If it is possible I want to know whether there exists an exact
solution of the equation y' ' (x) - k*y(x)*( 1 - (y ' (x) )^4) = 0 or
not.

Thanking you in advance and I'm looking forward to hearing from you
soon... Ali KONURALP

Your equation also satisfies :

(y')^2 = 1/(-c^2+exp(k*y(x)^2))/(c^2+exp(k*y(x)^2))*(c^4+exp(k*y(x)^2)^2) for
some constant c.

Chris
.