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

Ok so hope someone will be able to help...

I've used the D'Alembert method to solve the wave equation and have got that the general form should be

y(x,t) = f(x+ct) + g(x-ct)

Now im also told that the time dependence at x=0 is sinusoidal..

that is, y(x,0) = sin(wt)...

How can i deduce that the full x,t dependence is given by:

y(x,t) = Asin(kx+wt) + Bsin(kx-wt)

where k = w/c?

Thank you

2. Relevant equations

3. The attempt at a solution

Not sure where to go..

It seems the conditions tell me that f(x) + g(x) = sinwt..cant see how that helps :S

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Wave Motion

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