Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 9 - Systems of Differential Equations - 9.10 Nonlinear Systems - True-False Review - Page 662: b

Answer

False

Work Step by Step

The linear analysis of a system can lead to purely eigenvalues, then the behavior of the trajectories of the nonlinear system and the behavior of the trajectories of the corresponding linear system are different throughout the $x y-plane$.
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