(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

struggling with a problem and hoping someone could help me out. the problem reads,

Let F and G be arbitrary differentiable functions of one variable. Show that u(x,t) = f(x+ct) + G(x-ct) is a solution to the wave equation, provided that F and G are sufficiently smooth.

thanks in advance

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Help with a pde

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