(a) A simple model for the shape of a tsunami is given by dw = w4 - 2W, dx where W(x) > O 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. (Use C for the constant of integration.) W(x) = (c) Use a graphing utility to obtain the graphs of all solutions that satisfy the initial condition w(0) = 2. w

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A: Solution of this question is

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.