Find the general solution of the fifth order linear equation
y^((5))-6y^((3))+9y^(')=0
A)
c_(1)+(c_(2)+c_(3)t)sin(\sqrt(3)t)+(c_(4)+c_(5)t)cos(\sqrt(3)t)
B)
c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)te^(-\sqrt(3)t)+c_(4)t^(3)e^(-\sqrt(3)t)+c_(5)t^(4)e^(-\sqrt(3)t)
C)
c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)t^(2)e^(-\sqrt(3)t)+c_(4)t^(3)e^(-\sqrt(3)t)+c_(5)t^(4)e^(-\sqrt(3)t)
D)
c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)e^(\sqrt(3)t)+c_(4)sin(\sqrt(3)t)+c_(5)cos(\sqrt(3)t)
E)
c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)te^(-\sqrt(3)t)+c_(4)e^(\sqrt(3)t)+c_(5)te^(\sqrt(3)t)

Question

Find the general solution of the fifth order linear equation

y^((5))-6y^((3))+9y^(')=0

A)

c_(1)+(c_(2)+c_(3)t)sin(\sqrt(3)t)+(c_(4)+c_(5)t)cos(\sqrt(3)t)

B)

c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)te^(-\sqrt(3)t)+c_(4)t^(3)e^(-\sqrt(3)t)+c_(5)t^(4)e^(-\sqrt(3)t)

C)

c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)t^(2)e^(-\sqrt(3)t)+c_(4)t^(3)e^(-\sqrt(3)t)+c_(5)t^(4)e^(-\sqrt(3)t)

D)

c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)e^(\sqrt(3)t)+c_(4)sin(\sqrt(3)t)+c_(5)cos(\sqrt(3)t)

E)

c_(1)+c_(2)e^(-\sqrt(3)t)+c_(3)te^(-\sqrt(3)t)+c_(4)e^(\sqrt(3)t)+c_(5)te^(\sqrt(3)t)

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(Solved): Find the general solution of the fifth order linear equation y^((5))-6y^((3))+9y^(')=0 A) c_(1)+(c_( ...