Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.5 Some Simple Population Models - True-False Review - Page 51: g

Answer

False

Work Step by Step

The population growth is obtained by: $$\frac{dP}{dt}=kP$$ The rate of change depends on constant parameter $k$ and $P$ which are both positive constants. The population growth rate according to the Malthusian growth model is not always constant. Hence, the statement is false.
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