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Consider the equationauxx but + cu = 0, (i)where a, b, and

Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce ISBN: 9780470458310 168

Solution for problem 21 Chapter 10.5

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Problem 21

Consider the equationauxx but + cu = 0, (i)where a, b, and c are constants.(a) Let u(x, t) = etw(x, t), where is constant, and find the corresponding partialdifferential equation for w.(b) If b = 0, show that can be chosen so that the partial differential equation found inpart (a) has no term in w. Thus, by a change of dependent variable, it is possible to reduceEq. (i) to the heat conduction equation.

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Chapter 10.5, Problem 21 is Solved
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Textbook: Elementary Differential Equations and Boundary Value Problems
Edition: 10
Author: William E. Boyce
ISBN: 9780470458310

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Consider the equationauxx but + cu = 0, (i)where a, b, and