Consider the following equation: where a is a constant. Show that y(x, t) = A sin(kx -

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Consider the following equation:

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where a is a constant. Show that y(x, t) = A sin(kx - ?t) is not a solution of this equation but that the functions y(x, t) = Aei(kx - ?t) and y(x, t) = Aei(kx - ?t) do satisfy that equation.

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