Show that the equation Əy + 2k Əx? possesses solutions of the form 00 2 c, e-kt 1" =0 Σ cos (a, x + E,) cos (w,t+ 8,) where e, , Or , &, , 8, are constants and w,= a" c -k. 2 2 2
Show that the equation Əy + 2k Əx? possesses solutions of the form 00 2 c, e-kt 1" =0 Σ cos (a, x + E,) cos (w,t+ 8,) where e, , Or , &, , 8, are constants and w,= a" c -k. 2 2 2
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
ay
dy =c
+ 2k
possesses solutions of the form
- kt
2 C, e" cos (a,x+ E,) cos (W,t+ 8,)
1" =0
where c, , a, , &p , 8, are constants and w = 0 c - k.
2 , 2 2
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