The nondispersive wave equation in one dimension is given by g² (x, t) 1 ²(x, t) əx² v² Ət² = Show that the traveling wave (x, t) = A sin (kx - wt + ) is a solution of the nondispersive wave equation. How is the velocity of the wave

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The nondispersive wave equation in one dimension is given by
1
² (x, t)
j²y (x, t)
Əx²
v²
Ət²
=
-
Show that the traveling wave (x, t) = A sin (kx – wt + 6) is a
solution of the nondispersive wave equation. How is the velocity of the wave
related to k and w in this case?
Transcribed Image Text:The nondispersive wave equation in one dimension is given by 1 ² (x, t) j²y (x, t) Əx² v² Ət² = - Show that the traveling wave (x, t) = A sin (kx – wt + 6) is a solution of the nondispersive wave equation. How is the velocity of the wave related to k and w in this case?
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