A model that describes the population of a fishery in which harvesting takes place at a constant rate given by = kP – h, where k and h are positive dt 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

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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5. A model that describes the population of a fishery in which harvesting takes
place at a constant rate given by 4 = kP – h, where k and h are positive
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 P
Transcribed Image Text:5. A model that describes the population of a fishery in which harvesting takes place at a constant rate given by 4 = kP – h, where k and h are positive 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 P
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