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u(0,t)=0 2. Consider a piano string of length L = 50cm that satisfies the wave equation Utt81Uxx, 0 0 4x, 2004x, 0≤x≤ 25 25 < x < 50 u(50,t)=0

u(0,t)=0 2. Consider a piano string of length L = 50cm that satisfies the wave equation Utt81Uxx, 0 0 4x, 2004x, 0≤x≤ 25 25 < x < 50 u(50,t)=0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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u(0,t)=0 2. Consider a piano string of length L = Utt 50cm that satisfies the wave equation - = 81uxx, 0 < x < 50, t> 0 Assume that the ends of the string are fixed and the string is set in motion (i.e. struck by a hammer) from a resting position with an initial velocity ut (x,0) = g(x) = Find the displacement u(x, t) of the string. 4x, 0≤x≤ 25 200 4x, 25 < x < 50 u(50,t)=0
Transcribed Image Text:u(0,t)=0 2. Consider a piano string of length L = Utt 50cm that satisfies the wave equation - = 81uxx, 0 < x < 50, t> 0 Assume that the ends of the string are fixed and the string is set in motion (i.e. struck by a hammer) from a resting position with an initial velocity ut (x,0) = g(x) = Find the displacement u(x, t) of the string. 4x, 0≤x≤ 25 200 4x, 25 < x < 50 u(50,t)=0
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