Q4(a) Find a formal solution to the one-dimensional wave equation governed by the given initial- boundary value problem. 49UXX = Ut 00
Q4(a) Find a formal solution to the one-dimensional wave equation governed by the given initial- boundary value problem. 49UXX = Ut 00
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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Question
![Q4(a) Find a formal solution to the one-dimensional wave equation governed by the given initial-
boundary value problem.
49UXX = Utt
0 <x< 5, t>0
(a) u (0, t) =u (5, t) = 0,
(b) и (х, 0) — 0,
(с) u (х, 0) 6.
(b)
Find a formal solution to the heat diffusion problem by the given initial-boundary value problem.
Solve the final answer for each of the given different initial conditions.
Uxx = Ut
0 <x <T,
t>0
u (0, t) = u (n, t) = 0,
0<x <n
u (x, 0) = 3sin 2x - 6sin 5x + 10 sin 7x,
и (х, 0) %3D х?, 0<x <л
(а)
(b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3be4098-ae13-45a5-a1e6-23a10ce50a39%2Fd859d099-eeba-4b1f-adf4-38ed4133528c%2Fdvwp57f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4(a) Find a formal solution to the one-dimensional wave equation governed by the given initial-
boundary value problem.
49UXX = Utt
0 <x< 5, t>0
(a) u (0, t) =u (5, t) = 0,
(b) и (х, 0) — 0,
(с) u (х, 0) 6.
(b)
Find a formal solution to the heat diffusion problem by the given initial-boundary value problem.
Solve the final answer for each of the given different initial conditions.
Uxx = Ut
0 <x <T,
t>0
u (0, t) = u (n, t) = 0,
0<x <n
u (x, 0) = 3sin 2x - 6sin 5x + 10 sin 7x,
и (х, 0) %3D х?, 0<x <л
(а)
(b)
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