Solved: Examine your phase portraits in 47. Under what conditions will the phase

Chapter 8, Problem 52

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Examine your phase portraits in 47. Under what conditions will the phase portrait of a 2 2 homogeneous linear system with complex eigenvalues consist of a family of closed curves? consist of a family of spirals? Under what conditions is the origin (0, 0) a repeller? An attractor?

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