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Thanks WCC, but unfortunately this doesn't solve my problem.  The example you gave shows how to solve for t and q given some fixed functions f(t,q), g(t,q).  Rather, what I want is to solve the equations to find f and g as functions of variables t...
I want to input an equation, to be solved later in combination with many other equations, that reads f(q,t) == g(1/t, 1/q), where f and g are some functions of q and tt to be determined precisely by the other equations.  The problem is, I don't know...