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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?

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.

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