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 0.08y(1 dt %3D 3700. y(0) = 1630 If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the population in equilibrium. fish per year Give your answer to the nearest whole fish

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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
0.08y(1
dt
3700
y(0) = 1630
If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the
population in equilibrium.
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 0.08y(1 dt 3700 y(0) = 1630 If this lake is opening to fishing, determine how many fish can be harvested each year to maintain the population in equilibrium. fish per year Give your answer to the nearest whole fish
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