Solve the following heat equation: (u:(x,t) = Uxz(x, t) и(0, t) — 1 — е ! u(1, 0) — еt, и(т,0) — 0

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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Make sure to start by handling the NHBC first then move to the
NHT. Keep in mind that a NHT can pop up after you substitute u by v + ψ.

Solve the following heat equation:
Ut(x, t) = Urx (x, t)
и (0, t) — 1 — еt
u(1, t) = e',
u(x, 0) = 0
Transcribed Image Text:Solve the following heat equation: Ut(x, t) = Urx (x, t) и (0, t) — 1 — еt u(1, t) = e', u(x, 0) = 0
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