Uzz + Uyy = u %3D tt u(г, у, 0) — 0 и (х, у, t) — 2? -у?
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:Consider the BVP:
:+ Uyy =Ut
u(x, y, 0) = 0
u (x, Y, t) = x² – y²
UrL
where the membrane in equilibrium is the unit disk centered at the origin. Find the
velocity of the point (, ) at t=100.
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