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Constider a string with length L=6 and fixed ends. When the string vibrates, its dynamic model is described as y₁ (x,t) = 4y (x,t), t≥0, 6≥x≥0 and the boundary conditions are given as y(x,0)= 0.2x 0≤x≤1 [0.24-0.04x 1

Constider a string with length L=6 and fixed ends. When the string vibrates, its dynamic model is described as y₁ (x,t) = 4y (x,t), t≥0, 6≥x≥0 and the boundary conditions are given as y(x,0)= 0.2x 0≤x≤1 [0.24-0.04x 1

Advanced Engineering Mathematics
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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Constider a string with length L=6 and fixed ends. When the string vibrates, its dynamic model is described as Y₁(x,t)= 4yxx (x,t), t≥0, 6≥x≥0 and the boundary conditions are given as y(x,0) = 0.2x 0≤x≤1 0.24-0.04.x 1<x≤6³ y₁(x,0)=0, y(0,t)=0, _y(6,t)=0 Determine y(x,t).
Transcribed Image Text:Constider a string with length L=6 and fixed ends. When the string vibrates, its dynamic model is described as Y₁(x,t)= 4yxx (x,t), t≥0, 6≥x≥0 and the boundary conditions are given as y(x,0) = 0.2x 0≤x≤1 0.24-0.04.x 1<x≤6³ y₁(x,0)=0, y(0,t)=0, _y(6,t)=0 Determine y(x,t).
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