Show that the equation Əy 2 a3y + 2k possesses solutions of the form 00 -kt E C,e cos (C, x+ E,) cos (w,t+ d,) ° =0 Where c,, o, , Ep , 8, are constants and w, 2 2 2 = a c -k.
Show that the equation Əy 2 a3y + 2k possesses solutions of the form 00 -kt E C,e cos (C, x+ E,) cos (w,t+ d,) ° =0 Where c,, o, , Ep , 8, are constants and w, 2 2 2 = a c -k.
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:Show that the equation
dy
+ 2k 2.
possesses solutions of the form
- kt
C, e
cos (C, x+ E,) cos (w,t + 8,)
1° = 0
Where c,, o, , ɛ, , 8, are constants and w,
2 22
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