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The vibrating string problem is given by the equations below. Solve this problem with a=2, L=x, and the initial functions f(x) = 5 sin 8x + 165 zu =α². at² u(0,t) = 0 u(L,t) = 0 u(x,t) = au ax 00 t20 t20 u(x,0) = f(x) (x,0) = g(x) du 0≤x≤L 0≤x≤L

The vibrating string problem is given by the equations below. Solve this problem with a=2, L=x, and the initial functions f(x) = 5 sin 8x + 165 zu =α². at² u(0,t) = 0 u(L,t) = 0 u(x,t) = au ax 00 t20 t20 u(x,0) = f(x) (x,0) = g(x) du 0≤x≤L 0≤x≤L

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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The vibrating string problem is given by the equations below. Solve this problem with a=2, L= x, and the initial functions f(x) = 5 sin 8x + 16 sin 15x and g(x)=0. zu at² u(0,t) = 0 u(L,t) = 0 u(x, t) = =a² zu ax 0<x<L, t>0 t≥0 t20 u(x,0) = f(x) -(x,0) = g(x) du at 0≤x≤L 0≤x≤L
Transcribed Image Text:The vibrating string problem is given by the equations below. Solve this problem with a=2, L= x, and the initial functions f(x) = 5 sin 8x + 16 sin 15x and g(x)=0. zu at² u(0,t) = 0 u(L,t) = 0 u(x, t) = =a² zu ax 0<x<L, t>0 t≥0 t20 u(x,0) = f(x) -(x,0) = g(x) du at 0≤x≤L 0≤x≤L
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