Suppose a ninth-order homogeneous linear differential equation with constant coefficients has these characteristic roots: -6i, -6i, 6i, 6i, , - , - , -6.2
Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply.
A) $ C t \sin (6 t) $
B) $ \mathrm{Ct} $
C) $ \mathrm{C} $
D) $ C \sqrt{11} $
E) $ C t^{2} e^{-\sqrt{11} t} $
F) $ C e^{\sqrt{11} t} \cos (6 t) $
G) $ C t^{2} \cos (6 t) $
H) $ \mathrm{Ce}-\sqrt{11} t $

Question

Suppose a ninth-order homogeneous linear differential equation with constant coefficients has these characteristic roots: -6i, -6i, 6i, 6i,  , -  , -  ,  -6.2
Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply.
A) $ C t \sin (6 t) $ 
B) $ \mathrm{Ct} $ 
C) $ \mathrm{C} $ 
D) $ C \sqrt{11} $ 
E) $ C t^{2} e^{-\sqrt{11} t} $ 
F) $ C e^{\sqrt{11} t} \cos (6 t) $ 
G) $ C t^{2} \cos (6 t) $ 
H) $ \mathrm{Ce}-\sqrt{11} t $

Quizplus · Accepted Answer

The Answer of Suppose a ninth-order homogeneous linear differential equation with constant coefficients has these characteristic roots: -6i, -6i, 6i, 6i,  , -  , -  ,  -6.2
Which of the following terms are part of the general solution of this equation? Here, C denotes an arbitrary real constant.Select all that apply.
A) $ C t \sin (6 t) $ 
B) $ \mathrm{Ct} $ 
C) $ \mathrm{C} $ 
D) $ C \sqrt{11} $ 
E) $ C t^{2} e^{-\sqrt{11} t} $ 
F) $ C e^{\sqrt{11} t} \cos (6 t) $ 
G) $ C t^{2} \cos (6 t) $ 
H) $ \mathrm{Ce}-\sqrt{11} t $

Suppose a Ninth-Order Homogeneous Linear Differential Equation with Constant Coefficients Ctsin⁡(6t) C t \sin (6 t) Ctsin(6t)

Suppose a Ninth-Order Homogeneous Linear Differential Equation with Constant Coefficients $C t \sin (6 t)$