- #1
FrattyMathMan
- 2
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Homework Statement
Solve the IVP for the wave equation:
Utt-Uxx=0 for t>0
U=0 for t=0
Ut=[dirac(x+1)-dirac(x-1)] for t=0
2. The attempt at a solution
By D' Almbert's solution:
1/2 integral [dirac(x+1)-dirac(x-1)] dx from (x-t) to (x+t)
I apologize for not using Latex- my browser does not seem to agree with the reference.
My issue is what am I to do with the dirac function inside the integral? Can anyone point me in the right direction? I've already read all common literature on the dirac delta function.
Thank you for any help!