uxx
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
Solve the IVP, utt −uxx =sin(3πx)−7sin(4πx),0≤x≤1t∈R+
IC
u(x,0) = 5/4 sin(6 pi x) +1/3sin(4pi x)
ut (x,0) = 0
with the BC u(0,t)=0=u(1,t),t∈R +
Express the solution as a Fourier series.
Transcribed Image Text:4. Solve the IVP,
IC
utt - uxx = sin(3x) — 7 sin(4x), 0≤x≤1tR+,
with the BC
u(x,0)
ut (x,0)
=
=
5
4
0
1
sin(6x)+sin(4x)
3
u(0,t) = 0 = u(1,t), t≤R+
Express the solution as a Fourier series.
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