I have a system of 3 simulatenous differential equations (equations 1,2 and 3) that I need to solve in ur(r), ut(r) and phi(r). These are engineering equations so the solution has to make sense.
These equations are simplified using physics to two equations (equations 4 and 5) in ur(r) and phi(r)
Verify my derivation for the equations
Solving the differential equations (equations 1,2 and 3) simulatenously...in closed form if possible if not in iterative
Solving the differential equations (equations 4 and 5) simulatenously...I think they can be solved in closed form solution since I can find solution to each but not simultaneously...
See attached file
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I have experience in diff. eq. solving. Please, report the marginal conditions for numerical solving or the point of expansion for solving with series. Are you seek for only the periodic solutions in theta?
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