(a) A simple model for the shape of a tsunami is given by dW/dx = W(4 -...
Question:
(a) A simple model for the shape of a tsunami is given by
dW/dx = W√(4 - 2W),
where W(x) > 0 is the height of the wave expressed as a function of its position relative to a point offshore. By inspection, find all constant solutions of the DE.
(b) Solve the differential equation in part (a). A CAS may be useful for integration.
(c) Use a graphing utility to obtain the graphs of all solutions that satisfy the initial condition W(0) = 2.
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Step by Step Answer:
a From 2W 2 W 3 W 2 2W 0 we see that W 0 and W 2 are constant solutions b Separating variabl...View the full answer
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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