The system of equations is modeling a physical system. I'd think it's tractable, but I guess I'm not sure. I have seen closed form solutions for problems that are similar, but not identical, which were solved with Mathematica. Would it help to incorporate an assumption that all symbols are real? I did have real=True in the definition of most (not all) symbols already, but it's not clear if this has any effect. I'm not sure how or if it is possible to solve nonlinear systems like this with any of the SymPy assumption systems.
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