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Show that the linearization of (5) at .3; 1/ 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 ISBN: 9780321796981 216

Solution for problem 17 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 17

Show that the linearization of (5) at .3; 1/ is u0 D 3u 3v, v0 D u C v. Then show that the coefficient matrix of this linear system has complex conjugate eigenvalues 1, 2 D 2 i p2 with positive real part. Hence .3; 1/ is a spiral source for (5).

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Step 1 of 3

Lecture 21: Related Rates (Section 3.11) Related Rates allows us to find the rate of change of one quantity in terms of the rate of change of a related quantity. Consider the following example:...

Step 2 of 3

Chapter 6.3, Problem 17 is Solved
Step 3 of 3

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 (5) at .3; 1/ is u0 D 3u

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