5. Use linearization to determine the type of the downward equilibrium point for the damped…

5.           Use linearization to determine the type of the downward equilibrium point for the damped pendulum.

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6.           Use linearization to determine the type of the upward equilibrium point for the damped pendulum.

7.           Is x' = x2 + y2, y' = -2xy a Hamiltonian system?