(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. (Enter your answers as a comma-separated list.) W = ?

(b) Solve the differential equation in part (a). A CAS may be useful for integration. W(x) = ?

(c) Use a graphing utility to obtain the graphs of all solutions that satisfy the initial condition W(0) = 2.