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D'Alembert formula

The Cauchy problem

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 .

Table of contents 49 2
- D'Alembert formula with initial velocity D'Alembert formula 43 1
  - Central zero region for odd compactly supported initial velocity D'Alembert formula with initial velocity 35

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