A string with motionless ends at z = 0 and z = 1 vibrates according to the wave equation Fu Fu ət² 1. Use separation of variables (show details) to solve the equation provided that the initial profile of the string is u(x,0) = 4 sin(2x) and the initial velocity du Ət It=0 = 0.
A string with motionless ends at z = 0 and z = 1 vibrates according to the wave equation Fu Fu ət² 1. Use separation of variables (show details) to solve the equation provided that the initial profile of the string is u(x,0) = 4 sin(2x) and the initial velocity du Ət It=0 = 0.
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

Transcribed Image Text:A string with motionless ends at x = 0 and x = 1 vibrates according to the
wave equation
Fu
Ət
and the initial velocity
5
1. Use separation of variables (show details) to solve the equation provided
that the initial profile of the string is
u(x,0) = 4 sin(2x)
?u
Ət
Ju
น
dr²
It=0
= 0.
Expert Solution
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Follow-up Questions
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Follow-up Question

Transcribed Image Text:2. Are there any points of the string, other than the ends, that do not move
at all times? Explain.
Solution
Follow-up Question

Transcribed Image Text:Are
there any points of the string, other than the ends, that do not move
at all times? Explain.
Solution
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