(b) The string is such that at t = 0, dy/dt = 0 for all x, and y(x,0) has the shape y a L/2 L i.e. the mid-point is drawn aside a small distance a. Explain why the solution after the mid-point is released has the form y(x,1)= Σ1 Σ B, sin (#7 * cos("Act) L L r=1 X
(b) The string is such that at t = 0, dy/dt = 0 for all x, and y(x,0) has the shape y a L/2 L i.e. the mid-point is drawn aside a small distance a. Explain why the solution after the mid-point is released has the form y(x,1)= Σ1 Σ B, sin (#7 * cos("Act) L L r=1 X
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:(b) The string is such that at t = 0, dy/dt = 0 for all x, and y(x,0) has the shape
y
a
L/2
L
X
i.e. the mid-point is drawn aside a small distance a. Explain why the solution
after the mid-point is released has the form
y(x,1)=Σ1 B, sin (FZ* cos("TC)
L
L
r=1
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