 D'Alembert formula

ID: d-alembert-formula

Codex  0 Created 2026-09-24 Updated 2026-09-24

u_{tt} = c^{2} u_{xx}

has

u (x, t) = \frac{f ( x - c t ) + f ( x + c t )}{2} + \frac{1}{2 c} \int_{x - c t}^{x + c t} g (y) d y .

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