For which of the following homogeneous differential equations is the general solution given by
are arbitrary real constants?
A) $ y^{(4)}-81 y=0 $
B) $ y^{(4)}+81 y=0 $
C) $ y^{(4)}-81 y^{\prime}=0 $
D) $ y^{(4)}+81 y^{\prime}=0 $

Question

For which of the following homogeneous differential equations is the general solution given by  
are arbitrary real constants?
A) $ y^{(4)}-81 y=0 $ 
B) $ y^{(4)}+81 y=0 $ 
C) $ y^{(4)}-81 y^{\prime}=0 $ 
D) $ y^{(4)}+81 y^{\prime}=0 $

Quizplus · Accepted Answer

The Answer of For which of the following homogeneous differential equations is the general solution given by  
are arbitrary real constants?
A) $ y^{(4)}-81 y=0 $ 
B) $ y^{(4)}+81 y=0 $ 
C) $ y^{(4)}-81 y^{\prime}=0 $ 
D) $ y^{(4)}+81 y^{\prime}=0 $

For Which of the Following Homogeneous Differential Equations Is the General