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д и д12 - ди Ər2(t, x) = 0, t 2 0, x ∈ [0, L] u(t, 0) = u(t, L) = 0, u(0, x) = uo(x), : ди -(0, x) = vo(x). Ət

д и д12 - ди Ər2(t, x) = 0, t 2 0, x ∈ [0, L] u(t, 0) = u(t, L) = 0, u(0, x) = uo(x), : ди -(0, x) = vo(x). Ət

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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Question: (Partial differential equation)


we seek to solve the equation with compatibility relations between the initial conditions and the boundary conditions
(please find the details in the images.)

0 = (T) = (0)0a = (T)n = (0) n =
Transcribed Image Text:0 = (T) = (0)0a = (T)n = (0) n =
a u – 2021 Ə12 (t, x) ax2(t, x) = 0, + > 0, x ∈ [0, L] t u(t,0) = u(t, L) = 0, u(0,x) = uo(x), ди Ət (0, x) = vo(x).
Transcribed Image Text:a u – 2021 Ə12 (t, x) ax2(t, x) = 0, + > 0, x ∈ [0, L] t u(t,0) = u(t, L) = 0, u(0,x) = uo(x), ди Ət (0, x) = vo(x).
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