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The reduction of order formula (13) can also be derived

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 54E Chapter 4.7

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 54E

PROBLEM 54E

The reduction of order formula (13) can also be derived from Abels’ identity (Problem 32). Let f(t) be a nontrivial solution to (10) and y(t) a second linearly independent solution. Show that

and then use Abel’s identity for the Wronskian W[ f, y] to obtain the reduction of order formula.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 4.7, Problem 54E is Solved
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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The reduction of order formula (13) can also be derived