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: e

Answer

False

Work Step by Step

The equilibrium point of the linear system arising from the Van der Pol Equation $\frac{d^2y}{dt^2}+3(y^2-1)\frac{dy}{dt}=0$ is $\mu=3$. But from the textbook, it has been stated that if $\mu \geq 2$, the equilibrium point is an unstable node, not an unstable spiral.
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