Find the deflection u(x, y, t) satisfying the wave equation utt = 4 (uxx + Uyy) for a rect-angular plate with fixed ends and dimensions: horizontal a = 2 and vertical b = π. Theinitial velocity is g (x, y) = 0. The initial displacement isf(x, y) = -=-3 sin (5x) sin (6y) + 11 sin (6x) sin (9y)

Answered: Find the deflection u(x, y, t)…

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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Find the deflection u(x, y, t) satisfying the wave equation utt = 4 (uxx + Uyy) for a rect- angular plate with fixed ends and dimensions: horizontal a = 2 and vertical b = π. The initial velocity is g (x, y) = 0. The initial displacement is f(x, y) = - =-3 sin (5x) sin (6y) + 11 sin (6x) sin (9y)