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Consider the Boundary-Initial Value problem Jºu 25 Ər² u(0, t) = 0, u(3,t) = 0, t>0 du u(x,0) = x(3 − x), Ət where b₂ - and C₂ J²u Ət² u(x, t) 0 0 This models the displacement u(x, t) of a freely vibrating string, with fixed ends, initial profile a: (3-2), and zero initial velocity. The solution z(x, t), is given by the series -(x,0)=0, 0

Consider the Boundary-Initial Value problem Jºu 25 Ər² u(0, t) = 0, u(3,t) = 0, t>0 du u(x,0) = x(3 − x), Ət where b₂ - and C₂ J²u Ət² u(x, t) 0 0 This models the displacement u(x, t) of a freely vibrating string, with fixed ends, initial profile a: (3-2), and zero initial velocity. The solution z(x, t), is given by the series -(x,0)=0, 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Consider the Boundary-Initial Value problem where b₂ and C₂ Jºu 25 Ər² u(0, t) = 0, u(3,t) = 0, t>0 du u(x,0) = x(3 − x), Ət J²u Ət² - This models the displacement u(x, t) of a freely vibrating string, with fixed ends, initial profile a: (3x), and zero initial velocity. The solution z(x, t), is given by the series 0<x<3, t> 0 u(x, t): -(x,0)=0, 0<x<3 n=1 b, sin (na) cos(c₂ t)
Transcribed Image Text:Consider the Boundary-Initial Value problem where b₂ and C₂ Jºu 25 Ər² u(0, t) = 0, u(3,t) = 0, t>0 du u(x,0) = x(3 − x), Ət J²u Ət² - This models the displacement u(x, t) of a freely vibrating string, with fixed ends, initial profile a: (3x), and zero initial velocity. The solution z(x, t), is given by the series 0<x<3, t> 0 u(x, t): -(x,0)=0, 0<x<3 n=1 b, sin (na) cos(c₂ t)
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