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: 3


Yes, it is separable.

Work Step by Step

Since the logistic differential equation is given by $$ \frac{d y}{d t}=k y\left(1-\frac{y}{A}\right) $$ then it can written as follows $$ \frac{d y}{k y\left(1-\frac{y}{A}\right)}=dt $$ Thus, we see that it is separable.
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