Elementary Differential Equations
Elementary Differential Equations
10th Edition
ISBN: 9780470458327
Author: William E. Boyce, Richard C. DiPrima
Publisher: Wiley, John & Sons, Incorporated
Question
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Chapter 9.3, Problem 8P

(a)

To determine

The critical points of the given system of equation.

(b)

To determine

The corresponding linear system near each critical point.

(c)

To determine

The eigenvalues of each linear system and conclusions can you then draw about the nonlinear system.

(d)

To determine

To draw: A phase portrait of the nonlinear system to confirm your conclusion.

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Chapter 9 Solutions

Elementary Differential Equations

Ch. 9.1 - Prob. 11PCh. 9.1 - Prob. 12PCh. 9.1 - Prob. 13PCh. 9.1 - Prob. 14PCh. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.1 - Prob. 17PCh. 9.1 - Prob. 18PCh. 9.1 - Prob. 19PCh. 9.1 - Prob. 20PCh. 9.1 - Prob. 21PCh. 9.1 - Prob. 22PCh. 9.2 - Prob. 1PCh. 9.2 - Prob. 2PCh. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.2 - Prob. 5PCh. 9.2 - Prob. 6PCh. 9.2 - Prob. 7PCh. 9.2 - Prob. 8PCh. 9.2 - Prob. 9PCh. 9.2 - Prob. 10PCh. 9.2 - Prob. 11PCh. 9.2 - Prob. 12PCh. 9.2 - Prob. 13PCh. 9.2 - Prob. 14PCh. 9.2 - Prob. 15PCh. 9.2 - Prob. 16PCh. 9.2 - Prob. 17PCh. 9.2 - Prob. 18PCh. 9.2 - Prob. 19PCh. 9.2 - Prob. 20PCh. 9.2 - Prob. 21PCh. 9.2 - Prob. 22PCh. 9.2 - Prob. 23PCh. 9.2 - Prob. 24PCh. 9.2 - Prob. 25PCh. 9.2 - Prob. 26PCh. 9.2 - Prob. 27PCh. 9.2 - Prob. 28PCh. 9.3 - Prob. 1PCh. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.3 - Prob. 8PCh. 9.3 - Prob. 9PCh. 9.3 - Prob. 10PCh. 9.3 - Prob. 11PCh. 9.3 - Prob. 12PCh. 9.3 - Prob. 13PCh. 9.3 - Prob. 14PCh. 9.3 - Prob. 15PCh. 9.3 - Prob. 16PCh. 9.3 - Prob. 17PCh. 9.3 - Prob. 18PCh. 9.3 - Prob. 19PCh. 9.3 - Prob. 22PCh. 9.3 - Prob. 26PCh. 9.3 - Prob. 27PCh. 9.3 - Prob. 28PCh. 9.3 - A generalization of the damped pendulum equation...Ch. 9.4 - Prob. 1PCh. 9.4 - Prob. 2PCh. 9.4 - Prob. 3PCh. 9.4 - Prob. 4PCh. 9.4 - Prob. 5PCh. 9.4 - Prob. 6PCh. 9.4 - Prob. 7PCh. 9.4 - Prob. 8PCh. 9.4 - Prob. 9PCh. 9.4 - Prob. 10PCh. 9.4 - Prob. 13PCh. 9.4 - Prob. 14PCh. 9.4 - Prob. 15PCh. 9.4 - Prob. 16PCh. 9.5 - Each of Problems 1 through 5 can be interpreted as...Ch. 9.5 - Each of Problems 1 through 5 can be interpreted as...Ch. 9.5 - Prob. 3PCh. 9.5 - Each of Problems 1 through 5 can be interpreted as...Ch. 9.5 - Prob. 5PCh. 9.5 - Prob. 6PCh. 9.5 - Find the ratio of the amplitudes of the...Ch. 9.5 - Prob. 8PCh. 9.5 - Prob. 9PCh. 9.5 - Prob. 10PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 15PCh. 9.6 - In each of Problems 1 through 4, construct a...Ch. 9.6 - In each of Problems 1 through 4, construct a...Ch. 9.6 - Prob. 3PCh. 9.6 - Prob. 4PCh. 9.6 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - By introducing suitable dimensionless variables,...Ch. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10PCh. 9.6 - Prob. 11PCh. 9.6 - Prob. 12PCh. 9.7 - Prob. 1PCh. 9.7 - In each of Problems 1 through 6, an autonomous...Ch. 9.7 - In each of Problems 1 through 6, an autonomous...Ch. 9.7 - Prob. 4PCh. 9.7 - Prob. 5PCh. 9.7 - Prob. 6PCh. 9.7 - Prob. 7PCh. 9.7 - Prob. 8PCh. 9.7 - Prob. 9PCh. 9.7 - Prob. 10PCh. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9.7 - Prob. 13PCh. 9.8 - Prob. 1PCh. 9.8 - Prob. 2PCh. 9.8 - Prob. 4PCh. 9.8 - Prob. 5P
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