Comment #13 on issue 2098 by nicolas....@gmail.com: solve(x**2+1,x) does
not check if x is real.
http://code.google.com/p/sympy/issues/detail?id=2098
The problem is, solve() API is IMO currently ugly, so it's really painful
to deal with all possible output formats.
At least, there's now some up-to-date doc thanks to Chris work
(https://github.com/sympy/sympy/pull/423).
But I don't know how to deals cleanly with things like that (quoting
solve() docstring):
"""
if there is no linear solution then the first successful
attempt for a nonlinear solution will be returned
>>> solve(x**2 - y**2, x, y)
[y, -y]
>>> solve(x**2 - y**2/exp(x), x, y)
[x*exp(x/2), -x*exp(x/2)]
"""
I can't determine with the output which symbol was actually used for
solving. Well, in fact, I can here, because x is in the output but not y.
However, this is not always True.
solve(z**2*x**2 - z**2*y**2/exp(x), x, y,z)
[x*exp(x/2), -x*exp(x/2)] # is it y or z ?
I'm not sure it makes sense to spend much time with this, since we have to
agree on an output format anyway (issue 2464 for example...).
However, I already have a fix for the most simple case: one equation and
one variable.
Is it OK to fix only this case first (since this is also the most common
case), waiting for a decision for solve() output format before dealing with
the other cases ?
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