The general solution to D. E 3y(4) -y" - 12y" + 4y' 0 is given by y(x) = %3D C1 + cze2 + Cze 2 + C4e3* cie* + czez* + C3 + C4e* + c2x e2x + Cze 2 + C4e* -2x cje 2 + C2e -2x C3 + C4e2r Cie-2r + C2xe+ C3e + 2 + c2 xe 2+ Cse+ Cse -2x Cle

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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Question
5a
The general solution to D. E
3y4) - y" - 12y" + 4y' = 0
is given by y(x) =
%3D
C1 + c2e2 +
C3e-2r
Cje + czez* +
C3 + C4e*
cje2*
cie + c2x e2x +
Cze 2* + C4e*
-2x
cie 2 + cze* +
С3 +
C4e2r
Cie 2x + C2x e+
C3e+ C4e
-2x
-2r
cie + c2 xe 2+
C3e + C4e2
Transcribed Image Text:The general solution to D. E 3y4) - y" - 12y" + 4y' = 0 is given by y(x) = %3D C1 + c2e2 + C3e-2r Cje + czez* + C3 + C4e* cje2* cie + c2x e2x + Cze 2* + C4e* -2x cie 2 + cze* + С3 + C4e2r Cie 2x + C2x e+ C3e+ C4e -2x -2r cie + c2 xe 2+ C3e + C4e2
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