The transverse displacement, y, of a taut string from its equilibrium position at some point, x, and time, t, is given by y(x,t). By appropriate differentiation, show that the wavefunction

y(x,t) = f (x/x0 + t/t0) is a solution of the wave equation for all functions, f , and derive an expression relating the constants x0 and t0 to the wave speed.

Answer rating: 100% (QA)

A yxt f xx0 tt0 The wave equation for a string is 1v2partial2ypartialt2 partial2ypartialx2 We can pl... View the full answer