Answer
$$ y=3.4e^{-5t}.$$
Work Step by Step
The solution of the differential equation is given by
$$ y=Ce^{-5t}.$$
To find $ C $, we use the initial condition $ y(0)=3.4$. Then we have $ C=3.4$.
Hence the solution is
$$ y=3.4e^{-5t}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 7
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