Question: For the system dx = -x sin y + 2y dt dy = - cos y , dt (a) check that the system is a

For the system dx = -x sin y + 2y dt dy = - cos y , dt (a) check that the system is a Hamiltonian system with Hamiltonian function H(x, y) = x cosy + y2, (b) sketch the level sets of H, and (c) sketch the phase portrait of the system. Include a description of all equilibrium points and any saddle connections

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