7. Find a function u(x, y) that is harmonic in R2 and that equals f(0) = 4 sin(30) + 5 cos(60) on the unit circle.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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7. Find a function u(x, y) that is harmonic in R2 and that equals f(0) = 4 sin(30) + 5 cos(60) on
the unit circle.
Transcribed Image Text:7. Find a function u(x, y) that is harmonic in R2 and that equals f(0) = 4 sin(30) + 5 cos(60) on the unit circle.
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I don't understand why it is An*r^-n + Bn*r^-n. Why is it r^-n and not r^n? Please let me know. Thank you.

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