Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y' (t) = 0.01 y-b, y(0) 500, where t is measured in years. = a) Find the fish population, for t≥ 0, in terms of the harvesting rate b. (i.e. find the function y[t]). _y(t) = for t≥ 0.
Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y' (t) = 0.01 y-b, y(0) 500, where t is measured in years. = a) Find the fish population, for t≥ 0, in terms of the harvesting rate b. (i.e. find the function y[t]). _y(t) = for t≥ 0.
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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