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    • https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/09%3A_Waves/9.04%3A_Wave_Superposition
      The wave equation is linear in the function we are re interested in, the displacement u(x,t). This simple mathematical statement has important consequences, because it means that if we know any set o...The wave equation is linear in the function we are re interested in, the displacement u(x,t). This simple mathematical statement has important consequences, because it means that if we know any set of solutions, we can create more solutions by making linear combinations of them.

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