- #1
scorpion990
- 86
- 0
Hey there!
I'm faced with this problem:
http://img7.imageshack.us/img7/4381/25686658nz9.png
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
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!
I'm faced with this problem:
http://img7.imageshack.us/img7/4381/25686658nz9.png
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
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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