(b) Find the limit of u(x, t) as t → ∞o. 10. Let D = {x € R: 0 < x < 1}. (a) Find the solution of the wave equation Uxx = Urt in D x [0,00) such that u(0,t) = u(1,t) = 0, u(x,0) = 2 sin(3x) and u₂(x,0) = 5 sin(4x)

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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(b) Find the limit of u(x, t) as t → ∞o.
10. Let D = {x € R: 0 < x < 1}. (a) Find the solution of the wave equation Uxx = Utt in D x [0,00)
such that u(0, t) = u(1,t) = 0, u(x,0) = 2 sin(3x) and u₂(x, 0) = 5 sin(4x)
Transcribed Image Text:(b) Find the limit of u(x, t) as t → ∞o. 10. Let D = {x € R: 0 < x < 1}. (a) Find the solution of the wave equation Uxx = Utt in D x [0,00) such that u(0, t) = u(1,t) = 0, u(x,0) = 2 sin(3x) and u₂(x, 0) = 5 sin(4x)
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