A string is stretched and fastened to two points l apart. Motion is started by displacing the string in from which it is released at time t = 0. Then the displacement of any point at the form y = a sin a distance x from one end at time t is given by y(x, t) = a sin() cos(). The boundary conditions are given by = 0 (a) y(0,t) = 0, y(1, t) = 0 (b) y(x,0) = (d) y(x,0) = sin (뛰) yr(0.0)-0 (c) y(x,0) = 0 = 0 a sin %3D %3D O 0 O O
A string is stretched and fastened to two points l apart. Motion is started by displacing the string in from which it is released at time t = 0. Then the displacement of any point at the form y = a sin a distance x from one end at time t is given by y(x, t) = a sin() cos(). The boundary conditions are given by = 0 (a) y(0,t) = 0, y(1, t) = 0 (b) y(x,0) = (d) y(x,0) = sin (뛰) yr(0.0)-0 (c) y(x,0) = 0 = 0 a sin %3D %3D O 0 O O
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:A string is stretched and fastened to two points I apart. Motion is started by displacing the string in
the form y
= a sin) from which it is released at time t =0. Then the displacement of any point at
a distance x from one end at time t is given by y(x,t) = a sin() cos(). The boundary
%3D
conditions are given by
(a) y(0,t) = 0, y(1, t) = 0
(b) y(x,0) = a sin
= 0
(c) y(x, 0) = 0 ()0
(d) y(x,0) = a sin () .y(0.t) = 0
= 0
%3!
b.
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