Show that the equation 2²y Əy +2k 2²y 6x² ax² 1 2² Ət possesses solutions of the form X 00 kt Σ c, et cos (α. x + ₂) cos (w, t+8₂) -0. where cr, Or, Er, 8, are constants and w²=a²c²-k². 22 2 一
Show that the equation 2²y Əy +2k 2²y 6x² ax² 1 2² Ət possesses solutions of the form X 00 kt Σ c, et cos (α. x + ₂) cos (w, t+8₂) -0. where cr, Or, Er, 8, are constants and w²=a²c²-k². 22 2 一
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
Ə²
de ²
+2kdy=
Ət
=c²d²y x²
əx²
of cornolein
possesses solutions of the form
kt
Σ ce cos (α₂ x + ε₂) cos (w₁t+8₂)
2-0² c² - 1².
where cr, O₂, E, 8, are constants and w
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