6 By separation of variables, Solve the following 5 PDES :- du dt = 2 d24 dx2 © < X < 4 , t>o U (0₂t) =(4,t) U (x, 0) = 25 X 8 2 -nit²tl8 Ans: u(x₂+) = -200 S 1 TT n=1 ·sin nt nt xx
6 By separation of variables, Solve the following 5 PDES :- du dt = 2 d24 dx2 © < X < 4 , t>o U (0₂t) =(4,t) U (x, 0) = 25 X 8 2 -nit²tl8 Ans: u(x₂+) = -200 S 1 TT n=1 ·sin nt nt xx
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:6 By separation of variables, Solve the following
5
PDES :-
ди
dzu
= 2
© < X < 4
, t>o
dt
dx2
U (0₂t) =(4,t)
U (x, 0)
= 25 X
M
8
2
-ni²tl8
Ans: u(x₂+) = -200 S 1
Tr
n=1
sin nt X
x
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