For which of these differential equations is the characteristic equation given by
A) $ y^{\prime \prime}+50=0 $
B) $ y^{\prime \prime}+50 y=0 $
C) $ y^{\prime \prime}-2 y^{\prime}+50=0 $
D) $ y^{\prime \prime}-2 y^{\prime}+50 y=0 $
E) $ \left(y^{\prime}-(1-7 i)\right)\left(y^{\prime}-(1+7 i)\right)=0 $
F) $ \left(y^{\prime}-(1-7 i) y\right)\left(y^{\prime}-(1+7 i) y\right)=0 $

Question

For which of these differential equations is the characteristic equation given by  
A) $ y^{\prime \prime}+50=0 $ 
B) $ y^{\prime \prime}+50 y=0 $ 
C) $ y^{\prime \prime}-2 y^{\prime}+50=0 $ 
D) $ y^{\prime \prime}-2 y^{\prime}+50 y=0 $ 
E) $ \left(y^{\prime}-(1-7 i)\right)\left(y^{\prime}-(1+7 i)\right)=0 $ 
F) $ \left(y^{\prime}-(1-7 i) y\right)\left(y^{\prime}-(1+7 i) y\right)=0 $

Quizplus · Accepted Answer

The Answer of For which of these differential equations is the characteristic equation given by  
A) $ y^{\prime \prime}+50=0 $ 
B) $ y^{\prime \prime}+50 y=0 $ 
C) $ y^{\prime \prime}-2 y^{\prime}+50=0 $ 
D) $ y^{\prime \prime}-2 y^{\prime}+50 y=0 $ 
E) $ \left(y^{\prime}-(1-7 i)\right)\left(y^{\prime}-(1+7 i)\right)=0 $ 
F) $ \left(y^{\prime}-(1-7 i) y\right)\left(y^{\prime}-(1+7 i) y\right)=0 $

For Which of These Differential Equations Is the Characteristic Equation y′′+50=0 y^{\prime \prime}+50=0 y′′+50=0

For Which of These Differential Equations Is the Characteristic Equation $y^{\prime \prime}+50=0$