Good morning all, I am stuck on this question. Use d'Alembert's formula to write u(x,t) = x-at in the form u(x,t)=f(x+ct)+g(x-ct). I don't know how to do this so any help would be very nice. Thanks.
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Two thoughts. First, if you allow that , then you already have the form. Second, if you let If you expand and equate like terms, you'll find two equations for and .
If I were you, I would start by stating d'Alembert's formula as clearly as possible.
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