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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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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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