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If p(t) is a Malthusian population that diminishes

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

Solution for problem 8E Chapter 5.5

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 8E

Problem 8E

If p(t) is a Malthusian population that diminishes according to (2), then p(t2) - p(t1) is the number of individuals in the population whose lifetime lies between t1 and t2. Argue that the average lifetime of the population is given by the formula

 

and show that this equals 1/k.

Step-by-Step Solution:

Solution:

Step 1:

  In this question we have to show that the average lifetime of the population is given by the formula   equals  in the Malthusian decay model .

There is a correction here. The above expression should be

Step 2 of 2

Chapter 5.5, Problem 8E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

The answer to “If p(t) is a Malthusian population that diminishes according to (2), then p(t2) - p(t1) is the number of individuals in the population whose lifetime lies between t1 and t2. Argue that the average lifetime of the population is given by the formula and show that this equals 1/k.” is broken down into a number of easy to follow steps, and 49 words. This full solution covers the following key subjects: population, lifetime, Individuals, diminishes, equals. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 8E from 5.5 chapter was answered, more than 269 students have viewed the full step-by-step answer. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The full step-by-step solution to problem: 8E from chapter: 5.5 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

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If p(t) is a Malthusian population that diminishes