I'm stuck on these two problems.
Someone showed me how to do one of these the other day when I asked, and I thought I would be able to do the rest after getting an answer, but I don't see what to do when the initial conditons don't have a zero in the parentheses.
btw - the answers the book gives are:
for the first one:
Eigenvalue λ[subscript 0]=0 with eigenfunction y(x)[subscript 0]≡1, and positive eigenvalues {n^2/4} for n = 1,2,3 ...
The nth eigenfunction y[subscript n](x) is sin(nx/2) if n is odd, cos(nx/2) if n is even.
for the second one:
Only positive eigenvalues {n^2π^2/64} for n = 1,2,3...
The nth eigenfunction y[subscript n](x) is cos(nπx/8)+sin(nπx/8) if n is odd, cos(nπx/8)-sin(nπx/8) if n is even.
Any help would be greatly appreciated.
2007-07-13
02:58:51
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2 answers
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asked by
grompfet
5
in
Mathematics