The characteristic equation of a linear differential equation is pim³ + pzm² + p3m +p4 = 0 here p¡ € R. Which of the following is NOT a possible general solution of the differential equation? y = C1e™1# + (C2+ C3x)e™2¤ y = Cje™1# + Cze™2ª + C3e™3±

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The characteristic equation

The characteristic equation of a linear differential equation is pįm³ + p2m² + p3m+ p4 = 0
where p: e R. Which of the following is NOT a possible general solution of the differential equation?
y = Cje™1# + (C2 + C3æ)e™2*
y = Cjem1# + C2e™2ª + Czem3*
y = Czem + Cze"" cos bæ + CzeªF sin bæ
y = (C1 + Czr)e"F cos br + (C3 + C4z)er sin bæ
Transcribed Image Text:The characteristic equation of a linear differential equation is pįm³ + p2m² + p3m+ p4 = 0 where p: e R. Which of the following is NOT a possible general solution of the differential equation? y = Cje™1# + (C2 + C3æ)e™2* y = Cjem1# + C2e™2ª + Czem3* y = Czem + Cze"" cos bæ + CzeªF sin bæ y = (C1 + Czr)e"F cos br + (C3 + C4z)er sin bæ
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