5 By separation of variables, Solve the followin PDES :- du dt d2u dx2 @ < X < 4 , t>o U (0₂t) =(4,t) = G u(x,0) = 25 X 22 -n²²tl8 Ans: u(xt) = E. n=1 = 2 <-200 Tr he sin nt X 4

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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5 By separation of variables, Solve the followin
PDES :-
du
dt
= 2
d2u
dx2
@ < X < 4
, t>o
U (0₂t) =(4,t) = o
u(x,0) = 25 X
22
-nπ²+/8
Ans; u(x₂+) = -200
-200 e
TT n=1
E
sin n x
4
Transcribed Image Text:5 By separation of variables, Solve the followin PDES :- du dt = 2 d2u dx2 @ < X < 4 , t>o U (0₂t) =(4,t) = o u(x,0) = 25 X 22 -nπ²+/8 Ans; u(x₂+) = -200 -200 e TT n=1 E sin n x 4
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