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Existence of Fundamental Solution Sets. By Theorem 1, for

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

Solution for problem 26E Chapter 6.1

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 26E

Existence of Fundamental Solution Sets. By Theorem 1, for each j = 1, 2, . . . , n there is a unique solution to equation (17) satisfying the initial conditions (a) Show that {y1,y2, . . . ,yn} is a fundamental solution set for (17). [Hint: Write out the Wronskian at x0.] (b) For given initial values express the solution y(x) to (17) satisfying [as in equations (4)] in terms of this fundamental solution set.

Step-by-Step Solution:

Solution Step 1 Here it is given that And as per (17)a) The wronskian will be So => Hence is a fundamental solution set .

Step 2 of 2

Chapter 6.1, Problem 26E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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Existence of Fundamental Solution Sets. By Theorem 1, for