Let u(x, y) = 2x(c – y), where c is a constant. (a) Prove that u is harmonic on C. (b) Find all harmonic conjugates of u on C.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I need help complex analysis showing u is harmonic and finding all harmonic conjugates. Thankyou

8. Let u(x, y) = 2x(c – y), where c is a constant.
(a) Prove that u is harmonic on C.
(b) Find all harmonic conjugates of u on C.
Transcribed Image Text:8. Let u(x, y) = 2x(c – y), where c is a constant. (a) Prove that u is harmonic on C. (b) Find all harmonic conjugates of u on C.
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