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.
Thanks!
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