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NotesMATH 4890: Fourier Analysis Concept

d'Alembert's formula

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Solutions of wave functions that take the form

$$u(x, t) = \frac{1}{2}[f(x+t) + f(x-t)] + \frac{1}{2}\int_{x-t}^{x+t}g(y) \ \mathrm{d}y$$

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