Problem VilII (Question 25 only) Consider the following semi – infinite moving end vibrating string problem PDE Un-Ux 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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Problem VIII (Question 25 only) Consider the following semi - infinite moving end vibrating string problem
PDE Un-Uxx
0<x< 00, 0<1<00
BC
u(0,0) = f()
u(x,0) = 0
0<t<00
IC
0<x < 00
IC2
u,(x,0) = 0
u is bounded as x → ∞,
0<x< 00
BC
Using the Laplace Transform, the solution of this problem is
0<1<x
O A. U(x,1) =.
-x) t2x
0<t<x
F-x) 12x
1.
OB. U(x,1) =
Oc none of the other 3 answers
0<t<x
OD UCx,1) =
x21 (x-1)}
Transcribed Image Text:Problem VIII (Question 25 only) Consider the following semi - infinite moving end vibrating string problem PDE Un-Uxx 0<x< 00, 0<1<00 BC u(0,0) = f() u(x,0) = 0 0<t<00 IC 0<x < 00 IC2 u,(x,0) = 0 u is bounded as x → ∞, 0<x< 00 BC Using the Laplace Transform, the solution of this problem is 0<1<x O A. U(x,1) =. -x) t2x 0<t<x F-x) 12x 1. OB. U(x,1) = Oc none of the other 3 answers 0<t<x OD UCx,1) = x21 (x-1)}
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