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# (a) Show that the functions f(t) = t2|t| and g(t) = t3 are linearly dependent on0 < t < ISBN: 9780470458327 393

## Solution for problem 25 Chapter 4.1

Elementary Differential Equations | 10th Edition

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Problem 25

(a) Show that the functions f(t) = t2|t| and g(t) = t3 are linearly dependent on0 < t < 1 and on 1 < t < 0.(b) Show that f(t) and g(t) are linearly independent on 1 < t < 1.(c) Show that W(f, g)(t) is zero for all t in 1 < t < 1.

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##### ISBN: 9780470458327

Elementary Differential Equations was written by and is associated to the ISBN: 9780470458327. The full step-by-step solution to problem: 25 from chapter: 4.1 was answered by , our top Math solution expert on 03/13/18, 08:19PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 61 chapters, and 1655 solutions. Since the solution to 25 from 4.1 chapter was answered, more than 204 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Differential Equations, edition: 10. The answer to “(a) Show that the functions f(t) = t2|t| and g(t) = t3 are linearly dependent on0 < t < 1 and on 1 < t < 0.(b) Show that f(t) and g(t) are linearly independent on 1 < t < 1.(c) Show that W(f, g)(t) is zero for all t in 1 < t < 1.” is broken down into a number of easy to follow steps, and 56 words.

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