# Solved: Show that the coefficient matrix of the ## Problem 18 Chapter 6.3

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

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Problem 18

Show that the coefficient matrix of the linearization x0 D 2x, y0 D 5y of (7) at .0; 0/ has the positive eigenvalue 1 D 2 and the negative eigenvalue 2 D 5. Hence .0; 0/ is a saddle point for the system in (7). 1

Step-by-Step Solution:
Step 1 of 3

AC Method (Day 8) 10/10/16  Factor 36x +12x-35 ac = (36)(-35) = -1260 -1260 42 -30 12 1260 = (36)(35) 6x -5 6x 36 - 2 x 30x 7 42 -35 x (6x+7)(6x-5) 2  Factor 36x -17x-35...

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##### ISBN: 9780321796981

The full step-by-step solution to problem: 18 from chapter: 6.3 was answered by Patricia, our top Math solution expert on 01/04/18, 09:22PM. This textbook survival guide was created for the textbook: Differential Equations and Boundary Value Problems: Computing and Modeling, edition: 5. Since the solution to 18 from 6.3 chapter was answered, more than 219 students have viewed the full step-by-step answer. Differential Equations and Boundary Value Problems: Computing and Modeling was written by Patricia and is associated to the ISBN: 9780321796981. This full solution covers the following key subjects: . This expansive textbook survival guide covers 58 chapters, and 2027 solutions. The answer to “Show that the coefficient matrix of the linearization x0 D 2x, y0 D 5y of (7) at .0; 0/ has the positive eigenvalue 1 D 2 and the negative eigenvalue 2 D 5. Hence .0; 0/ is a saddle point for the system in (7). 1” is broken down into a number of easy to follow steps, and 46 words.

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