Take the problem PDE: Utt = 4uzzy t> 0 BC: u(0, t)u(3, t) = 0 IC: u(x,0) = x(3 - x), u₁(x,0) = 0 Use the D'Alembert solution (remember to make the function odd and periodic) to find u(1,0.01) = 0 u(1, 100) = 0 u(0.5, 10) = 0 u(1.5, 10) = 0 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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A5
Take the problem
PDE: Utt = 4uzzy 0<x<3, t> 0
BC: u(0,t) = u(3, t) = 0
IC: u(x,0) = x(3 - x),
u₁(x,0) = 0
Use the D'Alembert solution (remember to make the function odd and periodic) to find
u(1,0.01) = 0
u(1, 100) = 0
u(0.5, 10) =
0
u(1.5, 10)
= 0
Transcribed Image Text:Take the problem PDE: Utt = 4uzzy 0<x<3, t> 0 BC: u(0,t) = u(3, t) = 0 IC: u(x,0) = x(3 - x), u₁(x,0) = 0 Use the D'Alembert solution (remember to make the function odd and periodic) to find u(1,0.01) = 0 u(1, 100) = 0 u(0.5, 10) = 0 u(1.5, 10) = 0
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