pb4 solve the wave equation BU - 2² (2+2) d²² In a rectangle region 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Please show all the work
Pb4
solve the wave equation
BU - 2 (24-71)
Jy²)
d²²
in a rectangle region o<x<L, ocy<H
with boundary
K(₁₁y₁ t) = 0 and U(L₁4₁4)=0 for osy≤H
By (x₁0₁6) = 0 and 24 (x₁ H₂+)=0 fa osxel
t)
ry
ду
and initial conditions
U (x, y,0) = f(x,y), and 24 (1,2,0) = 0
Transcribed Image Text:Pb4 solve the wave equation BU - 2 (24-71) Jy²) d²² in a rectangle region o<x<L, ocy<H with boundary K(₁₁y₁ t) = 0 and U(L₁4₁4)=0 for osy≤H By (x₁0₁6) = 0 and 24 (x₁ H₂+)=0 fa osxel t) ry ду and initial conditions U (x, y,0) = f(x,y), and 24 (1,2,0) = 0
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