Tsunami (a) A simple model for the shape of a tsunami is given by (b) Solve the
Chapter 2, Problem 21(choose chapter or problem)
(a) A simple model for the shape of a tsunami is given by
\(\frac{d W}{d x}=W \sqrt{4-2 W}\),
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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