Consider the Boundary-Initial Value problem a²u J²u 9 მე2 Ət²' , 0 < x <5, t> 0 u(0,t) = 0, u(5,t) = 0, ди u(x, 0) = x(5 − x), at t>0 (x, 0) = 0, 0 < x < 5 This models the displacement u(x,t) of a freely vibrating string, with fixed ends, initial profile x (5 - x), and zero initial velocity. The solution u(x, t), is given by the series ∞ 4 u(x, t) = n=1 bɲ sin (· П (n = 7 x ) cos(cnt) where ཆུ་ང་ and Сп =

Consider the Boundary-Initial Value problem a²u J²u 9 მე2 Ət²' , 0 < x <5, t> 0 u(0,t) = 0, u(5,t) = 0, ди u(x, 0) = x(5 − x), at t>0 (x, 0) = 0, 0 < x < 5 This models the displacement u(x,t) of a freely vibrating string, with fixed ends, initial profile x (5 - x), and zero initial velocity. The solution u(x, t), is given by the series ∞ 4 u(x, t) = n=1 bɲ sin (· П (n = 7 x ) cos(cnt) where ཆུ་ང་ and Сп =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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