Explanation Procedure used: 1. Calculate the wronskian as, W ( s ) = | y 1 ( t ) y 2 ( t ) d d t ( y 1 ( t ) ) d d t ( y 2 ( t ) ) | 2. If the wronskian is zero then the function is linearly dependent. 3. If the wronskian is not zero then the function is linearly independent. Calculation: Consider the function. S = { t , t ln t } Here, y 1 = t and y 2 = t ln t

5th Edition

ISBN: 9780128149485

Author: Abell, Martha L. L.

Publisher: Elsevier Science

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Chapter 4, Problem 3RE

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To find: Whether the function S={t, tlnt} is linearly independent or linearly dependent.

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Chapter 4, Problem 2RE

Chapter 4, Problem 4RE

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Chapter 4 Solutions

Introductory Differential Equations

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Whether the function S = { t , t ln t } is linearly independent or linearly dependent.

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To find: Whether the function S={t, tlnt} is linearly independent or linearly dependent.

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Chapter 4 Solutions