Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 10 - Introduction to Differential Equations - 10.3 The Logistic Equation - Preliminary Questions - Page 518: 1

Answer

(b) and (d) are logistic differential equations.

Work Step by Step

Comparing with the standard equation of a logistic differential equation $$ \frac{d y}{d t}=k y\left(1-\frac{y}{A}\right) $$ we see that (a) it is not a logistic differential equation. (b) it is a logistic differential equation with $k=2$ and $A=3$. (c) it is not a logistic differential equation. (d) it is a logistic differential equation with $k=2$ and $A=1/3$.
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