find u (x, t) for 0 < x < 1 and t> 0 which solves Ut - Uxx = e¹, u (x,0) = 1, u (1, t) = u (0, t) = 0.
find u (x, t) for 0 < x < 1 and t> 0 which solves Ut - Uxx = e¹, u (x,0) = 1, u (1, t) = u (0, t) = 0.
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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[Second Order Equations] How do you solve 2? thank you
Transcribed Image Text:1.
2.
find u (x, t) for 0 < x < 1 and t> 0 which solves
UtUxx = 0,
u (x,0) = 1,
ux (1,t) = t,
find u (x, t) for 0 < x < 1 and t > 0 which solves
Ut - Uxx = et,
u (x,0) = 1,
ux (0, t) = 0.
u (1, t) = u (0,t) = 0.
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