Utt = Uxx, x>0, t > 0, u(x,0) = f(x), u₁(x,0) = 0, u₂(0,t) = 0, where f(x) = { b) Sketch the graphical solution of the problem. 2, if 1 < x < 2, otherwise.
Utt = Uxx, x>0, t > 0, u(x,0) = f(x), u₁(x,0) = 0, u₂(0,t) = 0, where f(x) = { b) Sketch the graphical solution of the problem. 2, if 1 < x < 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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Transcribed Image Text:Question 6. a) Solve the initial value problem modelling the vibration of a very long
string:
Utt = Uxx, x > 0, t > 0,
u(x,0) = f(x), ut(x,0) = 0, uz (0, t) = 0, where f(x)
b) Sketch the graphical solution of the problem.
=
{
2,
0
if 1 < x < 2,
otherwise.
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