ut + yux - xuy=0, u(0, x, y) = e(x-1)² – (y−1)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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Solve the initial value problem
Ut + Yux - xUy = 0,
Describe the asympotics of your solution as t → +∞.
u(0, x, y) = e-(x−1)²-(y−1)²
Transcribed Image Text:Solve the initial value problem Ut + Yux - xUy = 0, Describe the asympotics of your solution as t → +∞. u(0, x, y) = e-(x−1)²-(y−1)²
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