Question: Wave Equation and Standing Waves. (a) Prove by direct substitution that y(x, t) = (Aswsinkx) sin wt is a solution of the wave equation, Eq.

Wave Equation and Standing Waves.
(a) Prove by direct substitution that y(x, t) = (Aswsinkx) sin wt is a solution of the wave equation, Eq. (I5.12), for u = w/k.
(b) Explain why the relationship u = w/k for traveling waves also applies to standing waves.

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