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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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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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