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 - 1.4 Separable Differential Equations - True-False Review - Page 43: c

Answer

True

Work Step by Step

Newton’s law of cooling ca be defined as: $\frac{dT}{dt}=-k(T-T_m)$ or $\frac{1}{T-T_m}\frac{dT}{dt}=-k$ Since it can be written in the above form, it is a separable differential equation.
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