Find the general solution of the differential equation: d²y + 36y = 0. dx? y = C1 sin 6x +C2 cos 6x y = e6# (C1 sin x + C2 cos x) y = e¬ª (C1 sin 6x + C2 cos 6x) y = e® (C1 sin 6x + C2 cos 6x)

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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d²y
Find the general solution of the differential equation:
dx?
+ 36y= 0.
y = C1 sin 6 + C2 cos 6x
Oy= e6 (C1 sin x + C2 cos x)
|
y = e-* (C1 sin 6x + C2 cos 6x)
Oy = e" (C1 sin 6x + C2 cos 6x)
Transcribed Image Text:d²y Find the general solution of the differential equation: dx? + 36y= 0. y = C1 sin 6 + C2 cos 6x Oy= e6 (C1 sin x + C2 cos x) | y = e-* (C1 sin 6x + C2 cos 6x) Oy = e" (C1 sin 6x + C2 cos 6x)
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