RealityDysfunction
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 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 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. :/