A string with motionless ends at x = 0 and x = 1 vibrates according to the wave equation Fu Ət² and the initial velocity J²u dr² 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) Ju 5- Ət It=0 = 0.

A string with motionless ends at x = 0 and x = 1 vibrates according to the wave equation Fu Ət² and the initial velocity J²u dr² 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) Ju 5- 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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Transcribed Image Text:A string with motionless ends at x = 0 and x = 1 vibrates according to the wave equation Fu Ət² and the initial velocity J²u dr² 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) Ju 5- Ət It=0 = 0.

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