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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

(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:

Step 1</p>

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 </p>

Substitute the values of   in (1) we get,

Both  and  satisfy the given equation .Therefore both are solutions.Hence this initial value problem has multiple solutions.

Step 3 of 3

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

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