The general solution of y" + 4y' = 12 can %3D be written as (A) y = c1+ c2e¬2= + c3e2 + 3x (B) y= c1+ c2 cos 2x + C3 sin 2x + 3x (C) y = c1 + C2 cos 2x + C3 sin 2x + 12 (D) y = c1+ c2e¯2x + €3e2 + 4x + C3e2 + 4ax (E) y= C1+ C2 cos 2x + C3 sin 2x + 4x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The general solution of y" + 4y' = 12
can
%3D
be written as
(A) y = c1 + Cze-2z + C3e2 + 3x
(B) y = c1+ C2 cos 2x + C3 sin 2x + 3x
(C) y = c1+ C2 cos 2x + c3 sin 2x + 12
-2x
(D) y = C1 + C2e¯
¯2= + C3e²# + 4x
(E) y = C1+ C2 cos 2x + c3 sin 2x + 4x
Transcribed Image Text:The general solution of y" + 4y' = 12 can %3D be written as (A) y = c1 + Cze-2z + C3e2 + 3x (B) y = c1+ C2 cos 2x + C3 sin 2x + 3x (C) y = c1+ C2 cos 2x + c3 sin 2x + 12 -2x (D) y = C1 + C2e¯ ¯2= + C3e²# + 4x (E) y = C1+ C2 cos 2x + c3 sin 2x + 4x
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