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This question is an exact duplicate of:

Since solution of a heat flow problem means to determine the temperature distribution in a medium.Likewise i want to know that what the solution of wave equation depict?

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marked as duplicate by John Rennie, stafusa, Kyle Kanos, Jon Custer, heather Dec 17 '17 at 17:36

This question was marked as an exact duplicate of an existing question.

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The solutions of the wave equation describe the wave's amplitude at different points, and depending on the context, that amplitude can mean different things. For a standing wave on a string, the solution to the wave equation gives the displacement of the string at a given point. For a wave on water, it may be the height of the wave. It is completely contextual.

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