g) u = x³ + 3x²y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve g part
1. Check that each given function u is harmonic and if so then find a
harmonic conjugate of u. Write f(z).
a) u = -y
b) u = im(ez?)
c) u = -2x
d) u = x2 – y?
e) u = e*?-y² cos(2xy)
fA u = e* cos y
g) u = x³ + 3x²y
Transcribed Image Text:1. Check that each given function u is harmonic and if so then find a harmonic conjugate of u. Write f(z). a) u = -y b) u = im(ez?) c) u = -2x d) u = x2 – y? e) u = e*?-y² cos(2xy) fA u = e* cos y g) u = x³ + 3x²y
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