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June 22nd, 2017, 07:58 AM   #1
src
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How to solve this DE for a rotational system

This equation comes as we try to solve for the trajectory of a man walking on a rotating disc. We can surely solve it numerically, but I was wondering if there are any closed form solution to this. Python SymPy fails to do it.

dR/dt = v*sin(phi+theta)
d(phi)/dt = (v/R)*cos(phi+theta)+w

R (radial location) and phi (angle) are functions of time t.
v, theta and w are constants.

Please let me know if you would need more information.
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