RealityDysfunction
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 Sep24 awarded Autobiographer Aug7 awarded Commentator Aug7 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. Mar4 revised Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies… added 94 characters in body Mar4 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). Mar4 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. Mar4 asked Determine the eigenvalues (and corresponding eigenfunctions) if phi satisfies… Feb23 comment For what values of B is there an equilibrium temperature distribution. Got it, Thank you sir! Feb23 accepted For what values of B is there an equilibrium temperature distribution. Feb23 asked For what values of B is there an equilibrium temperature distribution. Feb22 awarded Scholar Feb22 accepted Determine equilibrium temperature distribution. Feb22 comment Determine equilibrium temperature distribution. I understand now, Thank you! Feb22 awarded Supporter Feb22 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..." Feb22 comment Determine equilibrium temperature distribution. Yes, external source. Feb22 comment Determine equilibrium temperature distribution. I will attempt using your suggestions. Btw the back of book answer is: u = T + a(x + 1). Feb22 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? Feb22 awarded Editor Feb22 revised Determine equilibrium temperature distribution. added 51 characters in body