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The matrix A = 0 10 0 1 00 0 1 00 1 0 11 0 has characteristic polynomial p() = (2 + 1)2

Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode ISBN: 9780321964670 380

Solution for problem 11 Chapter 9.8

Differential Equations | 4th Edition

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Differential Equations | 4th Edition | ISBN: 9780321964670 | Authors: Stephen W. Goode

Differential Equations | 4th Edition

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Problem 11

The matrix A = 0 10 0 1 00 0 1 00 1 0 11 0 has characteristic polynomial p() = (2 + 1)2. Determine two complex-valued solutions to x = Ax of the form x = eAtv, and hence, find four linearly independent real-valued solutions to the differential system.

Step-by-Step Solution:
Step 1 of 3

Lecture 33 The Fundamental Theorem of Calculus (Sections 5.3 and 5.4) ex. Given the function y = f(t)=4 t: y =4 t Now consider the function of x for x ≥ 0d findby...

Step 2 of 3

Chapter 9.8, Problem 11 is Solved
Step 3 of 3

Textbook: Differential Equations
Edition: 4
Author: Stephen W. Goode
ISBN: 9780321964670

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The matrix A = 0 10 0 1 00 0 1 00 1 0 11 0 has characteristic polynomial p() = (2 + 1)2

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