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QUESTION 5 Consider the following differential equation (ODE #2) y"-4y'+13y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 2) has two distinct real roots. O The characteristic equation of (ODE # 2) has one real root and one complex root. O The characteristic equation of (ODE # 2) has on repeated real root. O The characteristic equation of (ODE #2) has two complex roots.

QUESTION 5 Consider the following differential equation (ODE #2) y"-4y'+13y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 2) has two distinct real roots. O The characteristic equation of (ODE # 2) has one real root and one complex root. O The characteristic equation of (ODE # 2) has on repeated real root. O The characteristic equation of (ODE #2) has two complex roots.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 27E
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QUESTION 5 Consider the following differential equation (ODE #2) y"-4y'+13y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 2) has two distinct real roots. O The characteristic equation of (ODE # 2) has one real root and one complex root. O The characteristic equation of (ODE # 2) has on repeated real root. O The characteristic equation of (ODE #2) has two complex roots.
Transcribed Image Text:QUESTION 5 Consider the following differential equation (ODE #2) y"-4y'+13y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 2) has two distinct real roots. O The characteristic equation of (ODE # 2) has one real root and one complex root. O The characteristic equation of (ODE # 2) has on repeated real root. O The characteristic equation of (ODE #2) has two complex roots.
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