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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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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