Comment #1 on issue 1572 by smichr: solve() should be able to solve
expressions where variable only appears once
http://code.google.com/p/sympy/issues/detail?id=1572
I've got a solver that I've been working on that does exactly this. The
last "20%" is
taking 80% of my time, though! I keep getting caught by issues, especially
those
involved with the (rascally) radicals.
>>> solv((2**exp(y**2/x) + 2)/(x**2 + 15), y)
[-x**(1/2)*log(1 + pi*I/log(2))**(1/2), x**(1/2)*log(1 +
pi*I/log(2))**(1/2)]
>>> C1, C2 = symbols('C1 C2');solv(C1 + C2/x**2 - exp(-f(x)), f(x))
[-log(C1 + C2/x**2)]
What I've got isn't ready for sympy inclusion as it needs lots more tests,
but
perhaps I can push an experimental branch if you (or others) are
interested. It is
able to complete the equation set submitted by Vinzent in Issue 1172 (which
was an
excellent set of equations to provide a solver "torture test"). I'm still
checking
the more general lambert solver, but the more basic solving methods are in
place.
If there is interest in the beta code, let me know.
/c
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