For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy + 5y* harmonic in the whole xy-plane? 4 2.2 4 f(x, y) = Ax* + Bxy + 5y* is harmonic in the xy-plane if У + %3D A = and B =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 31E
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For what values of the constants A and B is the polynomial function
Ax
2. 2
4
f(x, у) %3D Ах
+ Bx y + 5y* harmonic in the whole xy-plane?
2.2
4
f(x, y) = Ax* + Bx y + 5y* is harmonic in the xy-plane if
У +
%3D
A =
and B =
Transcribed Image Text:For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bx y + 5y* harmonic in the whole xy-plane? 2.2 4 f(x, y) = Ax* + Bx y + 5y* is harmonic in the xy-plane if У + %3D A = and B =
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