Solved: Population Growth In the study of population dynamics one of the most famous

Chapter 2, Problem 37

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Population Growth In the study of population dynamics one of the most famous models for a growing but bounded population is the logistic equation

\(\frac{d P}{d t}=P(a-b P)\)

where a and b are positive constants. Although we will come back to this equation and solve it by an alternative method in Section 2.8, solve the DE this first time using the fact that it is a Bernoulli equation.

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