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    Graduate Series converges to a function that satisfies the wave equation

    Thanks!
  2. F

    Graduate Series converges to a function that satisfies the wave equation

    Problem: show that the series \sum(1/n^2)*sin(nx)*exp(-ny) converges to a continuous function u(x,y), Then show that U satisfies Uxx + Uyy = 0 Attempt: By the M-test, I know it converges, but I have to find the function it converges to. I tried to simplify the sum by using an identity...