RealityDysfunction

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location Toronto
age 26
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seen Aug 9 at 23:25

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Aug
7
awarded  Commentator
Aug
7
comment If $a_1a_2\cdots a_n=1$, then the sum $\sum_k a_k\prod_{j\le k} (1+a_j)^{-1}$ is bounded below by $1-2^{-n}$
Could you let me know the name of that formula pls.
Mar
4
revised Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies…
added 94 characters in body
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.
Mar
4
asked Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies…
Feb
23
comment For what values of B is there an equilibrium temperature distribution.
Got it, Thank you sir!
Feb
23
accepted For what values of B is there an equilibrium temperature distribution.
Feb
23
asked For what values of B is there an equilibrium temperature distribution.
Feb
22
awarded  Scholar
Feb
22
accepted Determine equilibrium temperature distribution.
Feb
22
comment Determine equilibrium temperature distribution.
I understand now, Thank you!
Feb
22
awarded  Supporter
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
awarded  Editor
Feb
22
revised Determine equilibrium temperature distribution.
added 51 characters in body
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. :/