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I'm faced with this problem:

http://img7.imageshack.us/img7/4381/25686658nz9.png [Broken]

It's a 1D nonhomogeneous wave equation with a "right hand side" equaling to the dirac delta function in x * a sinusoidal function in t. I have to find its general solution with the constraints:

http://img177.imageshack.us/img177/8083/38983002rq3.png [Broken]

I know that the solution, by D'Alembert's theorem, is equal to a double integral over the external function. I showed this in the original problem.

I don't have a lot of experience with the dirac delta function. I know that integrals over [a,b] of the diract delta function = 1 if 0 is an element of [a,b]. The integral is 0 otherwise.

I tried switching the order of integration. Didn't help much. I don't think that integration by parts helps, either. Can somebody point me in the right direction?

Thanks!

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# 1D wave equation with dirac delta function as an external force.

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