u(0, t) = 0, uz(T, t) = 0, t> 0, u(x,0) = x(7 – x), 0 0, 5urx, 0< x < 2, t> 0, u(0, t) = 0, uz (2, t) = 0, t > 0, (2, t) =0, t > 0, u(x,0) = x(4 – x), 0 0, u(0, t) = 0, u-(1, t) = 0, t> 0, u(x,0) = x²(3 – 2x), 0 0, (0,t) = 0, u(1, t) = 0, t> 0, Ux (1, t) = 0, t>0, u(x,0) = (x – 0 0, u(0, t) = 0, u(1, t) = 0, t> 0, Ua (1, t) = 0, t> 0, %3D u(x,0) = x(x² – 3), 0 0, u(0, t) = 0, u (1, t) = 0, Up(1, t) = 0, t>0, и(х, 0) 3 23 (3г - 4), 0<т<1 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question #30 

u(0, t) = 0, uz(T, t) = 0, t> 0,
u(x,0) = x(7 – x), 0<x<m
%|
27. Иt
t > 0,
5urx, 0< x < 2, t> 0,
u(0, t) = 0, uz (2, t) = 0, t > 0,
(2, t) =0, t > 0,
u(x,0) = x(4 – x), 0<x <2
Ut =
28.
0 < x < 1, t > 0,
u(0, t) = 0, u-(1, t) = 0, t> 0,
u(x,0) = x²(3 – 2x), 0<x < 1
Ut = Uxx;
%3D
0 <x < 1
29.
Ut = Uxx;
0 < x < 1, t> 0,
(0,t) = 0, u(1, t) = 0, t> 0,
Ux (1, t) = 0, t>0,
u(x,0) = (x – 0<x<1
1)3 +1,
30.
C Ut = Uxx,
0 < x < 1, t> 0,
u(0, t) = 0, u(1, t) = 0, t> 0,
Ua (1, t) = 0, t> 0,
%3D
u(x,0) = x(x² – 3), 0<r<1
31.
Ut = Uxx;
0 < x < 1, t > 0,
u(0, t) = 0, u (1, t) = 0,
Up(1, t) = 0,
t>0,
и(х, 0) 3 23 (3г - 4), 0<т<1
0 <x < 1
Transcribed Image Text:u(0, t) = 0, uz(T, t) = 0, t> 0, u(x,0) = x(7 – x), 0<x<m %| 27. Иt t > 0, 5urx, 0< x < 2, t> 0, u(0, t) = 0, uz (2, t) = 0, t > 0, (2, t) =0, t > 0, u(x,0) = x(4 – x), 0<x <2 Ut = 28. 0 < x < 1, t > 0, u(0, t) = 0, u-(1, t) = 0, t> 0, u(x,0) = x²(3 – 2x), 0<x < 1 Ut = Uxx; %3D 0 <x < 1 29. Ut = Uxx; 0 < x < 1, t> 0, (0,t) = 0, u(1, t) = 0, t> 0, Ux (1, t) = 0, t>0, u(x,0) = (x – 0<x<1 1)3 +1, 30. C Ut = Uxx, 0 < x < 1, t> 0, u(0, t) = 0, u(1, t) = 0, t> 0, Ua (1, t) = 0, t> 0, %3D u(x,0) = x(x² – 3), 0<r<1 31. Ut = Uxx; 0 < x < 1, t > 0, u(0, t) = 0, u (1, t) = 0, Up(1, t) = 0, t>0, и(х, 0) 3 23 (3г - 4), 0<т<1 0 <x < 1
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