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

Question 27

Multiple Choice

What is the characteristic equation for the second-order homogeneous differential equation 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 + 36y=0?


A) (r−6) (r+6) =0 (r-6) (r+6) =0
B) r2+6=0 r^{2}+6=0
C) r2+36=0 r^{2}+36=0
D) r2+36r=0 r^{2}+36 r=0

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