# [SciPy-User] Functional nonlinear equation

Dorian wizzard028wise@gmail....
Sun Dec 27 08:35:28 CST 2009

```Is there any way to solve it in the functional form ?
I do not have "mathematica" to do it.
Thanks for the plot suggestion.

Dorian

On Sun, Dec 27, 2009 at 3:00 PM, Richard <reg8@cornell.edu> wrote:

> I assume , x,y,a are real variables.  I would try using a contour plotting
> program. There is probably something like that already available in
> matplotlib. You would evaluate f(x,y) on a grid of (x,y) values and the
> contouring program will perform an efficient search for the points in the
> x,y plane where f = <any constant>.
>
>
> Richard
>
>
>
> On Dec 27, 2009, at 7:42 AM, Dorian 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.
>
>
> Dorian
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