Numerical Methods for Engineers

Published by McGraw-Hill Science/Engineering/Math
ISBN 10: 0073401064
ISBN 13: 978-0-07340-106-5

Chapter 1 - Mathematical Modeling and Engineering Problem Solving - Problems - Page 24: 1.16a


\begin{equation} \mu=\frac{\ln 2}{20} \end{equation} also, see the following image:

Work Step by Step

Solve the simple given equation to obtain $$ N(t)=N_{0} e^{\mu t} $$ where $N_{0}=N(0)$ In order to determine $\mu$ , use the given information $N(20)=2 N(0)$ \begin{array}{c}{N_{0} e^{20 \mu}=2 \cdot N_{0} e^{0 \mu}} \\ {\Leftrightarrow e^{20 \mu}=2} \\ {\Leftrightarrow 20 \mu=\ln 2}\end{array} \begin{equation} \mu=\frac{\ln 2}{20} \end{equation}
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