(a) Show that the function y(x, t) 5 x2 1 v2 t 2 is a

Chapter 16, Problem 44

(choose chapter or problem)

(a) Show that the function y(x, t) 5 x2 1 v2 t 2 is a solution to the wave equation. (b) Show that the function in part (a) can be written as f(x 1 vt) 1 g(x 2 vt) and determine the functional forms for f and g. (c) What If? Repeat parts (a) and (b) for the function y(x, t) 5 sin (x) cos (vt).

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