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Example 5.8. Solve du 0 < x < 1,t > 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) = 0, t > 0. %3D

Example 5.8. Solve du 0 < x < 1,t > 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) = 0, t > 0. %3D

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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Example 5.8. Solve du 0 < x < 1,t > 0, |3D ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1, t) = 0, t > 0.
Transcribed Image Text:Example 5.8. Solve du 0 < x < 1,t > 0, |3D ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1, t) = 0, t > 0.
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