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A population growing with harvesting will behave according to the differential equation dy 0.1y(1 – - c dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.

A population growing with harvesting will behave according to the differential equation dy 0.1y(1 – - c dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A population growing with harvesting will behave according to the differential equation

dydt=0.1y(1−y1300)−cdydt=0.1y(1-y1300)-c
y(0)=y0y(0)=y0

Find the value for c for which there will be only one equilibrium solution to the differential equation

c = 32.5Correct  

If c is less than the value found above, there will be Correct equilibria. If c is greater than the value found above, there will be Incorrect equilibria.

A population growing with harvesting will behave according to the differential equation dy 0.1y(1 – - c dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.
Transcribed Image Text:A population growing with harvesting will behave according to the differential equation dy 0.1y(1 – - c dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.
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