In Exercises 3-8, each linear system has complex eigenvalues. For each system,
(a) find the eigenvalues;
(b) determine if the origin is a spiral sink, a spiral source, or a center;
(c) determine the natural period and natural frequency of the oscillations,
(d) determine the direction of the oscillations in the phase plane (do the solutions goclockwise or counterclockwise around the origin?); and
(e) using HPGSystemsolver, sketch the x y -phase portrait and the
3.
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Differential Equations
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