The general solution of 4y" + 4y' + y = 0 is y(x) = (A) ce-2² cos(x) + c2 e¯2z sin(x) (B) c e2 + C2c e2 (C) ce-2z + c2 e²z (D) ce+ c2xe (E) None

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The general solution of
4y" + 4y' + y = 0 is
y(x) =
(A) ce-2² cos(x) + c2 e¯2z sin(x)
(B) c, e²* + czx e²z
(C) ce-2z + c2 e²=
(D) ce+ c2re-
(E) None
Transcribed Image Text:The general solution of 4y" + 4y' + y = 0 is y(x) = (A) ce-2² cos(x) + c2 e¯2z sin(x) (B) c, e²* + czx e²z (C) ce-2z + c2 e²= (D) ce+ c2re- (E) None
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