The general solution of the differential equation) " – 18y'+81y = 0 is 9x OBY = (c +cx)e-9x Oc.y = e*(c1 cos 9x +c2 sin 9x) O D.Y = Cje* +. O E.Y = C1 cos9x+c2 sin 9x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The general solution of the differential equation Y"- 18y'+81y = 0 is
%3D
O A.Y = (01+cx)e*
A. Y =
O B. Y = (c1 +czx ]e¯9*
O C.y = e C cos 9x +c2 sin 9x
O D. y = Cje*+c2e*
9x
+C2e
O E. Y = C1 cos 9x +c2 sin 9x
Transcribed Image Text:The general solution of the differential equation Y"- 18y'+81y = 0 is %3D O A.Y = (01+cx)e* A. Y = O B. Y = (c1 +czx ]e¯9* O C.y = e C cos 9x +c2 sin 9x O D. y = Cje*+c2e* 9x +C2e O E. Y = C1 cos 9x +c2 sin 9x
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