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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

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

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
Transcribed Image Text: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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