The 1d wave equation for p-waves isfracpartial2 u1partial

Reference no: EM13584357

The 1D wave equation for P-waves is:

\(\frac{\partial^2 u_{1}}{\partial t^2}=\alpha^{2}\frac{\partial^2 u_{1}}{\partial x_{1}^2}\), where alpha is the P-wave velocity.

Show that the function

\(u_{1}(x_{1},t)=Asin[\omega t-kx_{1}]\)

is a solution for the wave equation, where A is the maximum amplitude and omega is the angular frequency.

Reference no: EM13584357

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