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 I am 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?
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