Suppose the population of a city is modeled by the logistic equation dP dt P, 100 P(0) = 1 Use separation of variables to find a solution P(t) of the initial value problem. Show your steps.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 64RE: What is the carrying capacity for a population modeled by the logistic equation...
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Suppose the population of a city is modeled by the logistic equation
dP
dt
P -
P,
100
P(0) = 1
Use separation of variables to find a solution P(t) of the initial value problem. Show your steps.
Transcribed Image Text:Suppose the population of a city is modeled by the logistic equation dP dt P - P, 100 P(0) = 1 Use separation of variables to find a solution P(t) of the initial value problem. Show your steps.
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