Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 10


$$ f(t)=10e^{-0.7t}.$$

Work Step by Step

The solution of the differential equation is given by $$ y=f(t)=Ce^{-0.7t}.$$ To find $ C $, we use the initial condition $ y(0)=10$; then we have $ C=10$. Hence the solution is $$ f(t)=10e^{-0.7t}.$$
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