, Use the Maximum/Minimum Principles to deduce that the solution u of the problem D.E. u = kuzz 0 0. Dind the smalle

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2 Ise the Maximum/Minimum Principles to deduce that the solution u of the problem
D.E. Ut =
kugz 0<¤ < T, t > 0
B.C. u(0, t) = 0
u(T, t) = 0
I.C. u(x, 0) = sin(x) + sin(2x)
%3D
satisfies 0 < u(x, t) <V3 for all 0 <r<m, t 2 0.
Igin(3r) - 3sin(5x). Find the smallest
Transcribed Image Text:2 Ise the Maximum/Minimum Principles to deduce that the solution u of the problem D.E. Ut = kugz 0<¤ < T, t > 0 B.C. u(0, t) = 0 u(T, t) = 0 I.C. u(x, 0) = sin(x) + sin(2x) %3D satisfies 0 < u(x, t) <V3 for all 0 <r<m, t 2 0. Igin(3r) - 3sin(5x). Find the smallest
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