The Laplace operator is defined by xx yy A function u(x, y) satisfying the Laplace equation u 0 is called harmonic Find all constants a, b such that u(x, y) cos(ax)e by is harmonic ...

To determine if the functions cosaxey are harmonic we com ...

The Laplace operator is defined by = xx + yy . A function

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The Laplace operator Δ is defined by Δƒ = ƒ_xx+ ƒ_yy. A function u(x, y) satisfying the Laplace equation Δu = 0 is called harmonic.

Find all constants a, b such that u(x, y) = cos(ax)e^by is harmonic.

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Calculus

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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The Laplace operator is defined by = xx + yy . A function

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Calculus

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