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The solution of the heat equation Uzz = Ut, 0 < x < 2, t > 0, which satisfies the boundary conditions u(0, t) = u(2, t) = 0 and the initial S 2, 0

The solution of the heat equation Uzz = Ut, 0 < x < 2, t > 0, which satisfies the boundary conditions u(0, t) = u(2, t) = 0 and the initial S 2, 0

Advanced Engineering Mathematics
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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The solution of the heat equation Urx = Ut, 0 < x < 2, t > 0, which satisfies the boundary conditions u(0, t) = u(2,t) = 0 and the initial S 2, 0 <x <1] condition u(x, 0) = f(x),where f(x) = , is 10, 1< ¤ < 2 ƒ** n22 u(x, t) = E bn sin(naz where bn n=1 a) 4 [1 - (-1)"] O 2 [1 cos (")] O b) [1– cos ()] c) 2 [1– (–1)"] d) None of these O 4[1– cos()] -1- cos
Transcribed Image Text:The solution of the heat equation Urx = Ut, 0 < x < 2, t > 0, which satisfies the boundary conditions u(0, t) = u(2,t) = 0 and the initial S 2, 0 <x <1] condition u(x, 0) = f(x),where f(x) = , is 10, 1< ¤ < 2 ƒ** n22 u(x, t) = E bn sin(naz where bn n=1 a) 4 [1 - (-1)"] O 2 [1 cos (")] O b) [1– cos ()] c) 2 [1– (–1)"] d) None of these O 4[1– cos()] -1- cos
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