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

ISBN: 9780321747730 43

## Solution for problem 15E Chapter 1.2

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...

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