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 - 1.1 Differential Equations Everywhere - Problems - Page 13: 32

Answer

See below

Work Step by Step

Given: $t=30\\ M=2700g\\ a=1.5\\ m_0=3g$ Obtain: $m(30)=(2700)[1-(1-\frac{3}{2700}^{\frac{1}{4}})e^{\frac{(-1.5)(30)}{4(2700)^{\frac{1}{4}}}}]^4 \approx 1271g$ The mass of the heron after 30 days is $1271$ g
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