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(a) For the initial value problem (12) of Example 9, show

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

Solution for problem 29E 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 29E

Problem 29E

Problem

(a) For the initial value problem (12) of Example 9, show that are solutions. Hence, this initial value problem has multiple solutions. (See also Group Project G in Chapter 2.)

b) Does the initial value problem y = 3y2/3 , y(0) = 10-7, have a unique solution in a neighborhood of x = 0?

Step-by-Step Solution:

SOLUTION

Step 1

a)Given

We have to check these are the solutions of the initial value problem,…..(1)

We have

Substituting values of  and  in equation (1)

We get ,

Step 2 of 3

Chapter 1.2, Problem 29E 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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(a) For the initial value problem (12) of Example 9, show