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Question: 1 a particle of mass m moves in a plane...

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1. A particle of mass m moves in a plane subject to linear restoring forces towards the axes, so that its equations of motion are d2 dt2 where a, b, e are constants. Such equations arise in the study of the motion of a particle subject to nonlinear forces near an equilibrium point at (0,0). Take m = 1, a 1, b 1, c 5 (in appropriate units) and find the solution such that z 1, dx/dt 0, 0, and dy/dt 0 for t0.
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