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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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The population of Cook island has always been modeled by a logistic equation
P' = k(M – P) with growth rate k 2 and carrying capacity M 10000 with time t in
years.
Starting in the year 2000, 9 citizens of Cook island have left every year to become
mathematicians, never to return. What is the new differential equation modeling the
population of the island P?
P'
help (formulas)
Book: Section 1.6 of Notes on Diffy Qs

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