Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.6 Models Involving y'=k(y-b) - Preliminary Questions - Page 359: 2



Work Step by Step

The solution of $y'=-4(y-5)$ is $$y=5+c e^{-4t}.$$ So when $t\to \infty$, then $y\to 5$ and hence no solutions will tend to $\infty$ as $t\to \infty$.
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