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. Find a function ó(r, y) that is harmonic in the washer {z E C: 2< |z-1-i|<3} and satis the boundary conditions o(r,y) = 5 for |2 – 1– i| = 2 and ó(r, y) = 6 for |z – 1- i =

. Find a function ó(r, y) that is harmonic in the washer {z E C: 2< |z-1-i|<3} and satis the boundary conditions o(r,y) = 5 for |2 – 1– i| = 2 and ó(r, y) = 6 for |z – 1- i =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Find a function ø(x, y) that is harmonic in the washer {z € C: 2<|z-1-i|< 3} and satisfies the boundary conditions (r, y) = 5 for |2 – 1 – i| = 2 and ø(x, y) = 6 for |z – 1 – i| = 3. Make sure that ø is expressed in terms of x and y (not in terms of z) and the answer is fully simplified.
Transcribed Image Text:2. Find a function ø(x, y) that is harmonic in the washer {z € C: 2<|z-1-i|< 3} and satisfies the boundary conditions (r, y) = 5 for |2 – 1 – i| = 2 and ø(x, y) = 6 for |z – 1 – i| = 3. Make sure that ø is expressed in terms of x and y (not in terms of z) and the answer is fully simplified.
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