2 2 1 1 -1 -1 0.2 0.4 0.6 0.8 1 Suppose the heat equation u = kupa has the initial profile above with Dirichlet boundary conditions (i.e., the boundary values don't change). Which of the following will be the solution to the PDE as t → o0? 1 1 0.5 0.5 3-0.5 -0.5 -1 -1 -1.5 -1.5 (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
3
-1
-1
0.2
0.4
0.6
0.8
1
Suppose the heat equation ut = kuga has the initial profile above with
Dirichlet boundary conditions (i.e., the boundary values don't change).
Which of the following will be the solution to the PDE as t 00?
1
0.5
0.5
3-0.5
-0.5
-1
-1
-1.5
-1.5
-2
-2
0.2
0.4
0.6
0.8
1
X
2.
(x)!
Transcribed Image Text:3 -1 -1 0.2 0.4 0.6 0.8 1 Suppose the heat equation ut = kuga has the initial profile above with Dirichlet boundary conditions (i.e., the boundary values don't change). Which of the following will be the solution to the PDE as t 00? 1 0.5 0.5 3-0.5 -0.5 -1 -1 -1.5 -1.5 -2 -2 0.2 0.4 0.6 0.8 1 X 2. (x)!
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