If Ju 1 8²u ax² c²at² and c = 3, determine the solution u = f(x, t) subject to the boundary conditions u(0, t) = 0 and u(2, t) = 0 for t≥0 [au] u(x,0) = x(2-x) and at 1-0 = 0 0≤x≤ 2.
If Ju 1 8²u ax² c²at² and c = 3, determine the solution u = f(x, t) subject to the boundary conditions u(0, t) = 0 and u(2, t) = 0 for t≥0 [au] u(x,0) = x(2-x) and at 1-0 = 0 0≤x≤ 2.
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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Transcribed Image Text:Ju
If 1.au and c = 3, determine the solution u = f(x, t) subject to
8x² c² 8t²
the boundary conditions
u(0, t) = 0 and u(2, t) = 0 for t≥0
u(x,0) = x(2-x) and du
at
= 0 0≤x≤2.
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