5. Solve the following initial value problem: (You do not need to find the inverse Fourier transform, however, you need to write the final answer as an integral). UtUxx = = 0, u(0, t) = 0, u(x, 0) = { x = [1, 2], otherwise.
5. Solve the following initial value problem: (You do not need to find the inverse Fourier transform, however, you need to write the final answer as an integral). UtUxx = = 0, u(0, t) = 0, u(x, 0) = { x = [1, 2], otherwise.
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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![5. Solve the following initial value problem: (You do not need to find the inverse Fourier transform, however,
you need to write the final answer as an integral).
U t
Uxx
=
0,
u(0, t) = 0, u(x, 0) =
{!
x = [1, 2],
otherwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91f76606-a4d9-42f0-be0d-7b1366a5593f%2Ff995e3d8-e013-4921-bf5f-183d146b2823%2F9aojh7r_processed.png&w=3840&q=75)
Transcribed Image Text:5. Solve the following initial value problem: (You do not need to find the inverse Fourier transform, however,
you need to write the final answer as an integral).
U t
Uxx
=
0,
u(0, t) = 0, u(x, 0) =
{!
x = [1, 2],
otherwise.
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