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The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy E ry (1—у) — h dt where r,h > 0 are constants. 1 and h = 2 3 Solve the DE when r = 32 (The equation is separable and you should be able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).

The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy E ry (1—у) — h dt where r,h > 0 are constants. 1 and h = 2 3 Solve the DE when r = 32 (The equation is separable and you should be able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy — ry (1 — у) — h dt where r,h > 0 are constants. 1 Solve the DE when r = 3 and h 2. (The equation is separable and you should be 32 able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).
Transcribed Image Text:The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy — ry (1 — у) — h dt where r,h > 0 are constants. 1 Solve the DE when r = 3 and h 2. (The equation is separable and you should be 32 able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).
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