Determine whether Laplace's equation in two dimensionsa?u a?u+əx² ' əy2Is satisfied by the functions1a) иV(x-a)2+(y-b)2b) и — In[(x — а)? + (у — b)?]a, b: constant.

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Answered: Determine whether Laplace's equation in…

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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Determine whether Laplace's equation in two dimensions a²u a?u + дх2 ду? Is satisfied by the functions 1 а) и (x-a)²+(y-b)² b) и %3 In[(x — а)? + (у — b)"] a, b: constant.