Good morning, could you help me solve the following problem?: First of all, Thanks. Find a differential equation that represents a population P(t) if the birth rate is proportional to the population present at time t but the death rate is proportional to the square of the population present at time t. Modify the above model for the net rate to which changes the population P(t) of a certain kind of fish, but also assume that the fish is harvested at a rate constant h > 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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Good morning, could you help me solve the following problem?:
First of all, Thanks.
Find a differential equation that represents
a population P(t) if the birth rate is
proportional to the population present at time t but
the death rate is proportional to the square of the
population present at time t.

Modify the above model for the net rate to
which changes the population P(t) of a certain kind of fish,
but also assume that the fish is harvested at a rate
constant h > 0.

 

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