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A string is tied to the x-axis at x = 0 and at x = L and its initial displacement u(x, 0) = f(x), 0 < x < L, is shown in the given figure. Find u(x, t) if the string is released from rest. (Let a² = T/p, where T is magnitude of the tension in the string and p is the mass per unit length. Use a² as the constant in the given boundary-value problem.) u(x, t) = 0 f(x) h + n = 1 L13

A string is tied to the x-axis at x = 0 and at x = L and its initial displacement u(x, 0) = f(x), 0 < x < L, is shown in the given figure. Find u(x, t) if the string is released from rest. (Let a² = T/p, where T is magnitude of the tension in the string and p is the mass per unit length. Use a² as the constant in the given boundary-value problem.) u(x, t) = 0 f(x) h + n = 1 L13

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A string is tied to the x-axis at x = 0 and at x = L and its initial displacement u(x, 0) = f(x), 0 < x < L, is shown in the given figure. Find u(x, t) if the string is released from rest. (Let a2 = T/p, where T is the magnitude of the tension in the string and p is the mass per unit length. Use a² as the constant in the given boundary-value problem.) u(x, t) = 0 f(x) h + 00 Σ n = 1 L/3
Transcribed Image Text:A string is tied to the x-axis at x = 0 and at x = L and its initial displacement u(x, 0) = f(x), 0 < x < L, is shown in the given figure. Find u(x, t) if the string is released from rest. (Let a2 = T/p, where T is the magnitude of the tension in the string and p is the mass per unit length. Use a² as the constant in the given boundary-value problem.) u(x, t) = 0 f(x) h + 00 Σ n = 1 L/3
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