The infinite seriesu (x, t) = > Bn COS 5nt sin nxn=1is the solution of the wave equation= 2502uu (0, t) = u (T, t) = 0, t> 0,Ut (x, 0) = 0, 0< a 0,u (x, 0) = 6,In such a case for n = 1,2, ..., we have Bn =A) 12 (1 - (-1)")B)음 ((-1)"- 1)C)을6.D) 꽃(1- (-1)")E) „, (1 – (-1)")

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The infinite series u (x, t) = > Bn COS 5nt sin nx n=1 is the solution of the wave equation = 2502u 0 < x < T,t > 0, u (0, t) = u (T, t) = 0, t> 0, ut (x, 0) = 0, 0< x

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The infinite series
u (x, t) = > Bn COS 5nt sin nx
n=1
is the solution of the wave equation
= 2502u
u (0, t) = u (T, t) = 0, t> 0,
Ut (x, 0) = 0, 0< a <n.
0 < x < T, t > 0,
u (x, 0) = 6,
In such a case for n = 1,2, ..., we have Bn =
A) 12 (1 - (-1)")
B)음 ((-1)"- 1)
C)을
6.
D) 꽃(1- (-1)")
E) „, (1 – (-1)")

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