Comment #2 on issue 3148 by [email protected]: Too many constants from dsolve()
http://code.google.com/p/sympy/issues/detail?id=3148
I wrote to the list about this: http://groups.google.com/group/sympy/browse_thread/thread/e10cb5208b870601. I think such an algorithm could also be useful elsewhere (such as solve() and simplify(), since what we basically want to do is take an overdetermined system of equations and rewrite it in terms of new variables so that the whole set of equations becomes simpler. In the example above, the system of equations would be [C1**3, C1**6], and the new system would be [C1, C1**2]. There is also the fact that C1 in the new system equals C1**3 in the old one. We don't care about that here, but we might for some other potential uses of this.
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