Hi Thomas,

On Thu, Jun 27, 2013 at 8:32 PM, Thomas Moore <tommo...@live.com.au> wrote:
> I'm contemplating using sympy in a program which will need to symbolically
> solve a set of simultaneous and possibly non-linear equations. However, it's
> obviously not possible to find symbolic solutions in many cases, but if
> sym.solve can't find an explicit solution what I'd really like is for some
> way of delivering a simplified set of simultaneous equations.
>
> Let me give an example which gives me some hope:
>
>      eq1 = x + y - sym.log(x) - 3
>      eq2 = x**2 + z**2 - 4
>      eq3 = x + y - 15*z - 100
>
>      sym.solve((eq1, eq2, eq3), (x,y,z))
>
> Obviously this is going to be tough to solve completely, and Sympy does
> fail, but the error I recieve is:
>
>     NotImplementedError: could not solve 15*z - log(sqrt((-z + 2)*(z + 2)))
> + 97
>
> And it looks like, under the hood, Sympy has in fact almost completely
> simplified the equations. We have an equation in terms of z alone, and
> (hopefully) we could have a second equation in terms of x and z and then a
> third equation in terms of all three variables.
>
> I'm just wondering if there is some function within sympy to simplify sets
> of simultaneous equations by eliminating variables.

I don't know how to do that, apart from manually substituting one
equation into the other.
Do you know the structure of your equations?

How do you generate them, where do they come from? Maybe it is
possible to design an algorithm that can do what you want.

Ondrej

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