Show that the transformation I= x - ct, 7 = x + ct reduces the wave equation to the

Chapter 5, Problem 7

(choose chapter or problem)

Show that the transformation I= x - ct, 7 = x + ct reduces the wave equation to the equation uh = 0. Conclude, therefore, that every solution u(x, t) of the wave equation is of the form u(x, t)= F(x - ct)+ G(x + ct) for some functions F and G

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