×
Log in to StudySoup
Get Full Access to Math - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Math - Textbook Survival Guide

Show that the linearization of the system in (7) at .5; 2/

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 19 Chapter 6.3

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

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
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

4 5 1 420 Reviews
25
0
Problem 19

Show that the linearization of the system in (7) at .5; 2/ is u0 D 5v, v0 D 2u. Then show that the coefficient matrix of this linear system has conjugate imaginary eigenvalues 1, 2 D i p10. Hence .0; 0/ is a stable center for the linear system. Although this is the indeterminate case of Theorem 2 in Section 6.2, Fig. 6.3.16 suggests that .5; 2/ also is a stable center for (7).

Step-by-Step Solution:
Step 1 of 3

Page 1 of 3 Panel 2 Panel 4 10/1/2015 : OctPanel 1AR ALGEBRA (Session) Panel 3 yw2jw Page...

Step 2 of 3

Chapter 6.3, Problem 19 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

Other solutions

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Show that the linearization of the system in (7) at .5; 2/

×
Log in to StudySoup
Get Full Access to Math - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Math - Textbook Survival Guide
×
Reset your password