Traveling waves (for example, water waves or electromagnetic waves) exhibit periodic motion in both time and position. In one dimension (for example, a wave on a string), wave motion is governed by the one-dimensional wave equation below, where u(x,t) is the height or displacement of the wave surface at position x and time t, and c is the constant speed of the wave. Show that u(x.t) given below is a solution of the wave equation. u(x,t) = 2 cos (5(x+ ct)) + 7 sin (x- ct) What is the first step in showing that u(x,t) is a solution of the wave equation? O A. Factor u(x,t). du O B. Calculate the left side of the wave equation, by first calculating du YC. Calculate the left side of the wave equation, by first calculating O D. Multiply u(x,t) by c. Calculate the first partial derivative du / dt.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.