In the study of population dynamics one of the most famous models for a growing but bounded

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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/dt = P(a - bP),

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.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 09, 2018 02:09 PM

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In the study of population dynamics one of the most famous models for a growing but bounded

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Write the differential equation as dPdt aP bP 2 and let u P 1 or P u 1 Then ...View the full answer

A First Course in Differential Equations with Modeling Applications

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