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# (a) For the initial value problem (12) of Example 9, show ISBN: 9780321747730 43

## Solution for problem 29E Chapter 1.2

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

##### ISBN: 9780321747730

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