A string is stretched and secured at x = 0 and x = n for tz0. The motion of the vibrating string satisfies the wave equation 4 If the string has the initial position at? əx² U(x,0) = 0 and the initial velocity U,(x,0) = x, find the displacement U(x,t) of the string at ảny time t > 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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A string is stretched and secured at x = 0 and x = n for t2 0. The motion of the vibrating
string satisfies the wave equation
= 4
at?
If the string has the initial position
U(x,0) = 0 and the initial velocity U,(x,0) = x, find the displacement U(x,t) of the string at
àny time t > 0.
Transcribed Image Text:A string is stretched and secured at x = 0 and x = n for t2 0. The motion of the vibrating string satisfies the wave equation = 4 at? If the string has the initial position U(x,0) = 0 and the initial velocity U,(x,0) = x, find the displacement U(x,t) of the string at àny time t > 0.
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