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In: Advanced Math

Find u(x,y) harmonic in S with given boundary values: S = {(x,y): 1 < y <...

Find u(x,y) harmonic in S with given boundary values:

  1. S = {(x,y): 1 < y < 3} , u(x,y) = 5 (if y=1) and = 7 (when y=3)
  2. S = {(x,y): 1 < x2 + y2 < 4}, u(x,y)= 5 (on outer circle) and = 7 (on inner circle)

I have these two problems to solve, and I'm not sure where to start. Any help would be appreciated. Thanks!

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Expert Solution

Colby Messinger answered 1 year ago
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