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Use a sketch of the phase line (see Group Project C,

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

Solution for problem 11E Chapter 3.2

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 11E

Problem 11E

Problem

Use a sketch of the phase line (see Group Project C, Chapter 1) to argue that any solution to the logistic Model  where a, b, and P0 are positive constants, approaches the equilibrium solution as p(t) = a/b as t approaches

Step-by-Step Solution:

Solution

Step 1

In this problem, we have to stretch the the phase line and argue that any logistic model it approaches the equilibrium solution.

Step 2 of 3

Chapter 3.2, Problem 11E 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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Use a sketch of the phase line (see Group Project C,