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that where c is an arbitrary constant, is a one-parameter

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

Solution for problem 15E Chapter 1.2

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 15E

Verify that where c is an arbitrary constant, is a one-parameter family of solutions to Graph the solution curves corresponding to c = 0, ± 1, ± 2 using the same coordinate axes.

Step-by-Step Solution:

Problem 15EProblemVerify that where c is an arbitrary constant, is a one-parameter family of solutions to Graph the solution curves corresponding to c = 0, ± 1, ± 2 using the same coordinate axes.Solution:Step 1In this problem we have to verify that , where c is an arbitrary constant, is a one-parameter family of solution to Step 2Here we have given .We need to find first derivate of ,So, using chain rule of differentiation,We have, .Or, .Step 3Substituting, , and in in...

Step 2 of 3

Chapter 1.2, Problem 15E is Solved
Step 3 of 3

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

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that where c is an arbitrary constant, is a one-parameter

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