Answer
True
Work Step by Step
A linear system $x′ = Ax$ for which $A$ has complex eigenvalues $λ =\pm ib$ (for some b ∈ R) gives rise to elliptical trajectories in the phase plane. This is already justified in equation 9.9.7 in the textbook.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 9 - Systems of Differential Equations - 9.9 The Phase Plane for Linear Autonomous Systems - True-False Review - Page 653: b
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