QUESTION 9 Consider the following differential equation (ODE #3) y"-8y'+16y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 3) has two distinct real roots. O The characteristic equation of (ODE # 3) has one real root and one complex root. O The characteristic equation of (ODE # 3) has on repeated real root. O The characteristic equation of (ODE #3)has two complex roots.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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QUESTION 9
Consider the following differential equation
(ODE #3) y"-8y'+16y=0.
What is true about the roots of its characteristic equation?
O The characteristic equation of (ODE # 3) has two distinct real roots.
O The characteristic equation of (ODE # 3) has one real root and one complex root.
O The characteristic equation of (ODE # 3) has on repeated real root.
O The characteristic equation of (ODE #3)has two complex roots.
Transcribed Image Text:QUESTION 9 Consider the following differential equation (ODE #3) y"-8y'+16y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 3) has two distinct real roots. O The characteristic equation of (ODE # 3) has one real root and one complex root. O The characteristic equation of (ODE # 3) has on repeated real root. O The characteristic equation of (ODE #3)has two complex roots.
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