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    Show that this system is a Hamiltonian system.

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    Please give me a step-by-step solution to this attached ODE.

    Consider the following system:

    x' = -2y
    y' = x/2

    a. Show that this system is a Hamiltonian system.

    b. Us a Hamiltonian to sketch the phase portrait for this system.

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    https://brainmass.com/math/ordinary-differential-equations/show-system-hamiltonian-system-39958

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