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S u₁(x, t) = 2uxx (x, t), for x = (0, 2π), t > 0 sin(x) u(x, 0) u(0, t) = 0 = u(2π, t), t > 0

S u₁(x, t) = 2uxx (x, t), for x = (0, 2π), t > 0 sin(x) u(x, 0) u(0, t) = 0 = u(2π, t), t > 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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solve this heat equation by separation of variables.

blem I Solve u₁(x, t) u(x, 0) u(0, t) = = = 2uxx (x, t), for x = (0,2π), t> 0 sin(x) 0= u(2π, t), t > 0
Transcribed Image Text:blem I Solve u₁(x, t) u(x, 0) u(0, t) = = = 2uxx (x, t), for x = (0,2π), t> 0 sin(x) 0= u(2π, t), t > 0
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