Tsunami (a) A simple model for the shape of a tsunami, or tidal wave, is given by...

Tsunami (a) A simple model for the shape of a tsunami, or tidal wave, is given by

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.