5 By separation of variables, Solve the following PDES- ²4 = 4 24 dx² dt² 0 < x <5 , t>o u(e,t) = u(s, t) =6 u(x,0) = 5sin #X d U (x₂0) dt Ans - ucx,t) = 5 sint x 6082#t 2T
5 By separation of variables, Solve the following PDES- ²4 = 4 24 dx² dt² 0 < x <5 , t>o u(e,t) = u(s, t) =6 u(x,0) = 5sin #X d U (x₂0) dt Ans - ucx,t) = 5 sint x 6082#t 2T
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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Transcribed Image Text:5
By Separation of variables, Solve the following
PDES-
учи
= 4
24
dx²
0 < x <5
dt²
, t>o
u(e,t) = u(s, t) =6
u(x₂0) = 5sin #X
d
U (x₂0)
=0
dt
Ans - ucx,t) = 5 sint x 6082#t
2T
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