Show that y(x,t) = sin(x) cos(ct) + 1 c cos(x)sin(ct)

Chapter 16, Problem 16.4

(choose chapter or problem)

Show that y(x,t) = sin(x) cos(ct) + 1 c cos(x)sin(ct) satisfies the one-dimensional wave equation together with the boundary conditions y(0,t) = y(2,t) = 1 c sin(ct) for t > 0 and the initial conditions y(x, 0) = sin(x), y t (

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