Which is the imaginary part of the analytical complex function f(z)=u(x,y)+i v(x,y) given the real part above? v(x, y) = 3 x² y - y3b)v(x, y) = 3 x² y + y - y3c)v(x,y) = 3 x² y – y – y³d)v(x, y) = 3 x² y + 2x y - y3e)v(х, у) %3D 3х? у — 2ху — узa) и(х, у) %3D х3 + х? — 3ху? — у?

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Answered: u(х, у) %3D х3 + х? — 3х у? — у? 3 x y?…

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u(х, у) %3D х3 + х? — 3х у? — у? 3 x y? y2 - -

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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Question

Which is the imaginary part of the analytical complex function f(z)=u(x,y)+i v(x,y) given the real part above?

v(x, y) = 3 x² y - y3
b)
v(x, y) = 3 x² y + y - y3
c)
v(x,y) = 3 x² y – y – y³
d)
v(x, y) = 3 x² y + 2x y - y3
e)
v(х, у) %3D 3х? у — 2ху — уз
a)

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