Answered: QUESTION 5 A string is stretched and… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Hi please help me solve this! calculus questions.

QUESTION 5
A string is stretched and secured at x = 0 and x = 2π for t≥ 0. The motion of the vibrating
a²u
a²u
string satisfies the wave equation
If the string has the initial position
at²
əx²
0<x<T
U(x,0) = π and the initial velocity U₁(x,0) = {2.
-x, π<x< 2π'
U(x, t) of the string at any time t > 0.
= π[²
find the displacement

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