What is the characteristic equation for the second-order homogeneous differential equation + 36y=0?
A) $ (r-6)(r+6)=0 $
B) $ r^{2}+6=0 $
C) $ r^{2}+36=0 $
D) $ r^{2}+36 r=0 $

Question

What is the characteristic equation for the second-order homogeneous differential equation  + 36y=0?
A) $ (r-6)(r+6)=0 $ 
B) $ r^{2}+6=0 $ 
C) $ r^{2}+36=0 $ 
D) $ r^{2}+36 r=0 $

Quizplus · Accepted Answer

The Answer of What is the characteristic equation for the second-order homogeneous differential equation  + 36y=0?
A) $ (r-6)(r+6)=0 $ 
B) $ r^{2}+6=0 $ 
C) $ r^{2}+36=0 $ 
D) $ r^{2}+36 r=0 $

What Is the Characteristic Equation for the Second-Order Homogeneous Differential (r−6)(r+6)=0 (r-6)(r+6)=0 (r−6)(r+6)=0

What Is the Characteristic Equation for the Second-Order Homogeneous Differential $(r-6)(r+6)=0$