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For arbitrary functions f and g, thus proving our claim ⁄ Geometric Interpretation The general solution of the wave equation is the sum of two arbitrary functions f and g where f = f(xct) and g = g(x¡ct)In particular, f(xct) is a wave moving to the left with speed c, while g(x¡ct) is a wave moving to the right with speed c 53 Initial Value Problem.

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