[SciPy-User] Functional nonlinear equation

Charles R Harris charlesr.harris@gmail....
Sun Dec 27 09:41:10 CST 2009


On Sun, Dec 27, 2009 at 5:42 AM, Dorian <wizzard028wise@gmail.com> wrote:

> Hi  all,
>
> How do I solve  the following functional nonlinear equation
>
> f(x,y)= (-1/a^2)*(x*y)^(1/a-1)+(1/a)*x^(1/a-1)+(1/a)*y^(1/a-1) =0
>
> where  "a"  is positive parameter.
>
> If there is a way to plot  f(x,y) for different values of "a"
> it will be very appreciated.
>
>
Substitute u = x^(1/a - 1), v = y^(1/a - 1) and things will simplify
considerably. The graph of f(x,y) is a translated hyperbola in those
coordinates.

Chuck
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