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Letx(1)(t) =ettet, x(2)(t) =1t.Show that x(1)(t) and x(2)(t) are linearly dependent at

Elementary Differential Equations | 10th Edition | ISBN: 9780470458327 | Authors: William E. Boyce, Richard C. DiPrima ISBN: 9780470458327 393

Solution for problem 15 Chapter 7.3

Elementary Differential Equations | 10th Edition

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Elementary Differential Equations | 10th Edition | ISBN: 9780470458327 | Authors: William E. Boyce, Richard C. DiPrima

Elementary Differential Equations | 10th Edition

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Problem 15

Letx(1)(t) =ettet, x(2)(t) =1t.Show that x(1)(t) and x(2)(t) are linearly dependent at each point in the interval 0 t 1.Nevertheless, show that x(1)(t) and x(2)(t) are linearly independent on 0 t 1.

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Chapter 7.3, Problem 15 is Solved
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Textbook: Elementary Differential Equations
Edition: 10
Author: William E. Boyce, Richard C. DiPrima
ISBN: 9780470458327

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Letx(1)(t) =ettet, x(2)(t) =1t.Show that x(1)(t) and x(2)(t) are linearly dependent at

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