Let us consider the hyperbolic PDE is utt = with the initial conditions 0 0 u(x, 0) = P1(x) U: (x, 0) = P2(x)' Ut (x, 0) = ,(2)0 < æ 0. investigate the uniqueness solution on the data of this problem. ::

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let us consider the hyperbolic PDE is utt
with the initial conditions
c2Un#, 0< x < 1, t >0
u(x, 0) = P1(x)
4 (x, 0) = #2(x)'
0 < x <1
and the boundany Conditions
и (0, t) — и(1, t) — 0, t > 0.
investigate the uniqueness
solution on the data of this problem.
Transcribed Image Text:Let us consider the hyperbolic PDE is utt with the initial conditions c2Un#, 0< x < 1, t >0 u(x, 0) = P1(x) 4 (x, 0) = #2(x)' 0 < x <1 and the boundany Conditions и (0, t) — и(1, t) — 0, t > 0. investigate the uniqueness solution on the data of this problem.
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