Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uzz = Utt; t > 0, 0 < x < 7, ICs: u(0, т) — 0, и (0, г) — 4г(7 — т), 0<т<7, BCs : u(t, 0) = 0, u(t,7) = 0, %3D t> 0.
Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uzz = Utt; t > 0, 0 < x < 7, ICs: u(0, т) — 0, и (0, г) — 4г(7 — т), 0<т<7, BCs : u(t, 0) = 0, u(t,7) = 0, %3D t> 0.
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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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Please only solve the second and third sub-parts
![Question 5: Solve the wave equation initial boundary problem by the
method of separation of variables
PDE : 81 urx = Utt,
t > 0, 0 < x < 7,
6.
ICs: u(0, г) %— 0, и (0, т) — 4г(7— г), 0<т<7,
BCs: u(t, 0) — 0, и(t, 7) %3D 0,
-
t> 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6db5e5f-2be6-42e4-885a-ddee402c0edd%2F6d89ee21-2853-48c7-8d2f-f3bc1694453b%2Flkgfq6_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5: Solve the wave equation initial boundary problem by the
method of separation of variables
PDE : 81 urx = Utt,
t > 0, 0 < x < 7,
6.
ICs: u(0, г) %— 0, и (0, т) — 4г(7— г), 0<т<7,
BCs: u(t, 0) — 0, и(t, 7) %3D 0,
-
t> 0.
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