The population of a particular type of fish in a lake would grow logistically according to the differential equation (where t is measured in years) absent harvesting. dy 0.03y(1 dt 2800 y(0) 1320 If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the population in equilibrium. Preview fish per year

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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The population of a particular type of fish in a lake would grow logistically according to the differential equation
(where t is measured in years) absent harvesting.
dy
0.03y(1
dt
2800
y(0) = 1320
If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the population
in equilibrium.
Preview
fish per year
Give your answer to the nearest whole fish
Transcribed Image Text:The population of a particular type of fish in a lake would grow logistically according to the differential equation (where t is measured in years) absent harvesting. dy 0.03y(1 dt 2800 y(0) = 1320 If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the population in equilibrium. Preview fish per year Give your answer to the nearest whole fish
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