Question: Consider the system i = -y x, = x . (a) Show that linearization of the system predicts a center. (b) Show that the

Consider the system i = -y x, = x . (a) Show

Consider the system i = -y x, = x . (a) Show that linearization of the system predicts a center. (b) Show that the origin is actual a spiral. (Hint: go to polar coordinates.)

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