Given the function (u(x, y)=x^{2}-y^{2}). (a) Prove that this equation satisfies the Laplace equation. (b) Find the
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Given the function \(u(x, y)=x^{2}-y^{2}\).
(a) Prove that this equation satisfies the Laplace equation.
(b) Find the function \(v(x, y)\) such that \(f(z)=u+i v\) is an analytic function.
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Related Book For
Advanced Mathematics For Engineering Students The Essential Toolbox
ISBN: 9780128236826
1st Edition
Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil
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