Answered: Q.6 Solve the Laplace equation U+U = 0… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Q.6 Solve the Laplace equation
U, +U „
„=0
U,(0. y) = 0,U,(z, y) = 0,
U(x,0) = 2cos3x + 3–2 sin² x U(x,l) =cos x-+cos4x,
Hint: U(x, y) = a, + b, y + £(A, coshny + B, sinh ny)cosnx.

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