Hyperbolic Partial Differential Equations

Hyperbolic second-order differential equations result from problems involving vibration processes, and are of the form d2F _ d2y P dx2 ~q dx2 For example, the wave equation in one dimension d2y Tg d2y

dt2 w dx2

describes the vibration (i.e., the lateral displacement y) of a string of length L, weight W, tension T and weight/unit length w = W/L, as a function of distance jc along the length of the string.

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