RealityDysfunction

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location Toronto
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seen Mar 3 at 17:02

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Mar
4
comment Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies…
Well... the last case has imaginary roots. (I added solution in the back of the book to the question).
Mar
4
comment Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies…
Well, I know that for only certain values of lambda I have non-trivial solutions; the formula in the book is: lambda=(n*pi/L)^2...This has to somehow be part of the solution. PS: My book is very poor at explaining and has absolutely no examples so I am stuck at square 1.
Feb
23
comment For what values of B is there an equilibrium temperature distribution.
Got it, Thank you sir!
Feb
22
comment Determine equilibrium temperature distribution.
I understand now, Thank you!
Feb
22
comment Determine equilibrium temperature distribution.
Great! However the way I am learning it from the book is different, and I am not sure how "The first boundary condition implies A=B−T..."
Feb
22
comment Determine equilibrium temperature distribution.
Yes, external source.
Feb
22
comment Determine equilibrium temperature distribution.
I will attempt using your suggestions. Btw the back of book answer is: u = T + a(x + 1).
Feb
22
comment Determine equilibrium temperature distribution.
Yeah, I misunderstood it seems, usually I try to get u(0) and u(L), but from these partials how do I get it?
Feb
22
comment Determine equilibrium temperature distribution.
They do not include it, this is all they give: u(x, 0) = f (x). However, for easier examples with boundary conditions 0 to L, I just plugged them in and was able to find answer, but now I have these partials, which makes me stuck. :/