A First Course in Differential Equations with Modeling Applications (MindTap Course List)

11th Edition

ISBN: 9781305965720

Author: Dennis G. Zill

Publisher: Cengage Learning

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Textbook Question

Chapter 8.1, Problem 25E

Prove that the general solution of the homogeneous linear system

x ′ = ( 0 6 0 1 0 1 1 1 0 ) x

on the interval (−∞, ∞) is

x = c 1 ( 6 − 1 − 5 ) e − t + c 2 ( − 3 1 1 ) e − 2 t + c 3 ( 2 1 1 ) e 3 t .

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Chapter 8.1, Problem 24E

Chapter 8.1, Problem 26E

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Chapter 8 Solutions

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

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Prove that the general solution of the homogeneous linear system x ′ = ( 0 6 0 1 0 1 1 1 0 ) x on the interval (−∞, ∞) is x = c 1 ( 6 − 1 − 5 ) e − t + c 2 ( − 3 1 1 ) e − 2 t + c 3 ( 2 1 1 ) e 3 t .

Solution Summary: The author explains the general solution of the homogeneous linear system in Xprime, where A=(cc0& 6& 0

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Chapter 8 Solutions