A string is stretched between two fixed pegs a distance π apart. The mathematical model representing the physical phenomenon can be described by 1D wave equation as ∂ 2u ∂t 2 = ∂ 2u ∂x 2 ; 0 < x < π, t > 0 u(0,t) = 0, u(π,t) = 0, u(x, 0) = sin x , ut (x, 0) = 0. Find the displacement function u(x,t) subject to the given initial and boundary conditions.

A string is stretched between two fixed pegs a distance π apart. The mathematical model representing the physical phenomenon can be described by 1D wave equation as ∂ 2u ∂t 2 = ∂ 2u ∂x 2 ; 0 < x < π, t > 0 u(0,t) = 0, u(π,t) = 0, u(x, 0) = sin x , ut (x, 0) = 0. Find the displacement function u(x,t) subject to the given initial and boundary conditions.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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