Show that the function satisfies the wave equation $\partial^{2} z / \partial t^{2}=c^{2}\left(\partial^{2} z / \partial x^{2}\right).$ $$z=\sin (x-c t)$$
Added by Daniel R.
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Taking the partial derivative of \(z\) with respect to \(t\), we get: \[\frac{\partial z}{\partial t} = -c\cos(x - ct)\] ** Show more…
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