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Use a Fourier sine expansion to solve ĉu ô’u ôt ôx? u(0,t) = u(1,1) =0,1> 0, = x sint in (0,1) × (0,+0), (1) u(x,0) = 1,0 < x<1.

Use a Fourier sine expansion to solve ĉu ô’u ôt ôx? u(0,t) = u(1,1) =0,1> 0, = x sint in (0,1) × (0,+0), (1) u(x,0) = 1,0 < x<1.

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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Use a Fourier sine expansion to solve ôu ô?u = x sint in (0,1)×(0,+∞), ôt u(0,1) = u(1,1) = 0,t > 0, (1) u(x,0) = 1,0< .r<1.
Transcribed Image Text:Use a Fourier sine expansion to solve ôu ô?u = x sint in (0,1)×(0,+∞), ôt u(0,1) = u(1,1) = 0,t > 0, (1) u(x,0) = 1,0< .r<1.
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