Show that the linearization of (2) at .0; 21/ is u0 D 3u,

Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition | ISBN: 9780321796981 | Authors: C. Henry Edwards, David E. Penney, David T. Calvis

Problem 5 Chapter 6.3

Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition

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Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition | ISBN: 9780321796981 | Authors: C. Henry Edwards, David E. Penney, David T. Calvis

Differential Equations and Boundary Value Problems: Computing and Modeling | 5th Edition

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Problem 5

Show that the linearization of (2) at .0; 21/ is u0 D 3u, v0 D 63u 42v. Then show that the coefficient matrix of this linear system has negative eigenvalues 1 D 3 and 2 D 42. Hence .0; 21/ is a nodal sink for the system in (2). 6.

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Chapter 6.3, Problem 5 is Solved
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Textbook: Differential Equations and Boundary Value Problems: Computing and Modeling
Edition: 5
Author: C. Henry Edwards, David E. Penney, David T. Calvis
ISBN: 9780321796981

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Show that the linearization of (2) at .0; 21/ is u0 D 3u,

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