Show that (a) y = (x + vt)^2

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Show that (a) y = (x + vt)^2, (x + t)^2, (c) y = (x – vt)^2, and (d) y = 2 sin x cos vt are each a solution of one-dimensional wave equation but not (e) y = x^2 -v^2t^2 and (f) y = sin 2x cos vt.
01
Nov
Show that (a) y = (x + vt)^2, (x + t)^2, (c) y = (x – vt)^2, and (d) y = 2 sin x cos vt are each a solution of one-dimensional wave equation but not (e) y = x^2 -v^2t^2 and (f) y = sin 2x cos vt. (c) y = (x - vt)^2 [...]
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Tags: (c) y = (x - vt)^2 , (x + t)^2 , and (d) y = 2 sin x cos vt are each a solution of one-dimensional wave equation but not (e) y = x^2 -v^2t^2 and (f) y = sin 2x cos vt. , Show that (a) y = (x + vt)^2 ,