A model that describes the population of a fishery in which harvesting takes dP place at a constant rate given by kP – h, where k and h are posi- dt tive constants, (a) Solve the DE subject to P(0) = Po %3D (b) Describe the behavior of the population P(t) for increasing time in the three cases Po > , Po = , and 0< Po < . k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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1. A model that describes the population of a fishery in which harvesting takes
dP
place at a constant rate given by
kP – h, where k and h are posi-
dt
tive constants,
(a) Solve the DE subject to P(0) = Po
(b) Describe the behavior of the population P(t) for increasing time in the
three cases Po >, Po = , and 0< Po < .
k
Transcribed Image Text:1. A model that describes the population of a fishery in which harvesting takes dP place at a constant rate given by kP – h, where k and h are posi- dt tive constants, (a) Solve the DE subject to P(0) = Po (b) Describe the behavior of the population P(t) for increasing time in the three cases Po >, Po = , and 0< Po < . k
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