Thanks Ondrej; LambertW looks similar but not close enough. :-(   I'm
pretty sure no analytical solution exists, so it has to be solved
numerically.

How does one use msolve()?  A search through the docs doesn't seem to
find anything...

Also, with the code from my first message, I'm still getting a
"ValueError("Symbolic value, can't compute") whether solve() or msolve
() is used.

Thanks again for your help!




On Feb 3, 12:18 am, Ondrej Certik <[email protected]> wrote:
> On Mon, Feb 2, 2009 at 9:16 PM, Ondrej Certik <[email protected]> wrote:
> > On Mon, Feb 2, 2009 at 9:09 PM, limist <[email protected]> wrote:
>
> >> Hi Ondrej,
>
> >> The variable to solve for is x, not x_mean or x_max, both of which are
> >> constants between 0.05 and 0.9.
>
> >> It is a nonlinear, implicit equation - so is it the case that sympy
> >> can't deal with solving such an equation?
>
> > Do you mean symbolically? No, it currently can't. But I don't know how
> > to solve it on a paper either --- if you know, please tell me and we
> > can then think how to implement it.
>
> Seems to me the result could be maybe expressed in terms of the
> LambertW function:
>
> http://en.wikipedia.org/wiki/Lambert%27s_W
>
> Ondrej

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