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

(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.

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