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What are the limits of integration for A(p) and B(p) in this problem. I think it is -infinity to infinity, but I'm not sure if this is correct. | What are the limits of integration for A(p) and B(p) in this problem. I think it is -infinity to infinity, but I'm not sure if this is correct. | ||
| + | Answer: see page 508 for a Fourier Integral refresher. You are right that it is -inf to inf. | ||
[[2010 MA 527 Bell|Back to the MA 527 start page]] | [[2010 MA 527 Bell|Back to the MA 527 start page]] | ||
Revision as of 11:38, 4 December 2010
Homework 14 collaboration area
Question Page 560, Problem 11:
Are the boundary conditions for this problem u(0,t)=U1 and u(L,t)=U2 or u'(0,t)=U1 and u'(L,t)=U2? I think it is the u' option, but I'm not sure why?
Answer: The problem says that it is fixed at U1 and U2 for all time. I interpret this as X(0)=U1 and X(L)=U2, and X'(0)=X'(L)=0 since they are not changing at those points. Apply these to the X equation after you separate your variables. The T equation will come out the same as before.
Question Page 585, Prob 6:
Can anyone provide some direction on how to start this problem? I'm not really sure how to get started on it.
Question Page 568, Prob 2:
What are the limits of integration for A(p) and B(p) in this problem. I think it is -infinity to infinity, but I'm not sure if this is correct.
Answer: see page 508 for a Fourier Integral refresher. You are right that it is -inf to inf.
