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Show that (a)y=(x+vt)^(2),(b)y=(x+t)^(2)...

Show that `(a)y=(x+vt)^(2),(b)y=(x+t)^(2),(c )y=(x-vt)^(2)`, and (d) y=2 sin xcos vt are each a solution of one dimensional wave equation but not (e) y=x^(2)-v^(2)t^(2)` and (f) `y=sin 2x cos vt.`

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