In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation dP = P(a - bP), where a and are positive constants. Although we will come back to this equation and solve it by an alternative method in Section 3.2, solve the DE this first time using the fact that it is a Bernoulli equation. P(t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation
dP
%3D Р(а — БР),
dt
-
where a and b are positive constants. Although we will come back to this equation and solve it by an alternative method in Section 3.2, solve the DE this first time using the fact that it is a Bernoulli equation.
P(t)
Transcribed Image Text:In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation dP %3D Р(а — БР), dt - where a and b are positive constants. Although we will come back to this equation and solve it by an alternative method in Section 3.2, solve the DE this first time using the fact that it is a Bernoulli equation. P(t)
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