v(x,y) = 3x² y - 2xy - y³ Which of the following is the Real part of the analytical complex function f(Z) =u(x,y)+iv(x,x) given the imaginary part? u(x,y) = x³ - 3 x y² b) u(x, y) = x³ + x - 3x y? и(х, у) — х3 — х - 3ху? d) u(x,y) = x³ + x? - 3x y? - y? u(x, y) = x³ - x² - 3x y² + y²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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v(x, y) = 3x² y - 2xy - y³
%3D
Which of the following is the Real part of the analytical complex function f(Z) =u(x.v)+iv(xx) given the
imaginary part?
a)
и(х, у) %3D х3 — 3 х у?
b)
и(х, у) 3D х3 + х —
3 x y?
c)
u(x, y) = x³
3x y?
%3D
- x -
d)
u(x,y) = x³ + x? - 3x y? - y?
e)
u(x, y) = x³
х? — 3ху? + у?
I + |
Transcribed Image Text:v(x, y) = 3x² y - 2xy - y³ %3D Which of the following is the Real part of the analytical complex function f(Z) =u(x.v)+iv(xx) given the imaginary part? a) и(х, у) %3D х3 — 3 х у? b) и(х, у) 3D х3 + х — 3 x y? c) u(x, y) = x³ 3x y? %3D - x - d) u(x,y) = x³ + x? - 3x y? - y? e) u(x, y) = x³ х? — 3ху? + у? I + |
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