# D'alembert solution Help (easy)

1. May 14, 2010

### Niall101

Hi I have been trying to figure out how this method works.

Searched the forum but got no results. Have attached an example Im trying to do. If someone could show me it would be great.

Or even show me a similar example worked out.

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Last edited: May 14, 2010
2. May 15, 2010

### LCKurtz

Do you have this equation to work with:

$$u(x,t)=\frac{f(x-ct)+f(x+ct)}{2}+\frac 1 {2c}\int_{x-ct}^{x+ct}v_0(s)\,ds$$

to work with or are you expected to derive it?

3. May 15, 2010

### Niall101

Yes I have this equation. Does the integral go to a constant. ITs after this i dont know what to do

4. May 15, 2010

### LCKurtz

$$\int_a^b 0\ dt = c|_a^b = c - c = 0$$