QUESTION 1 Consider the following differential equation (ODE #1) 4y”-12y'+5y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 1) has two distinct real roots. O The characteristic equation of (ODE # 1) has one real root and one complex root. O The characteristic equation of (ODE # 1) has on repeated real root. O The characteristic equation of (ODE #1) has two complex roots.
QUESTION 1 Consider the following differential equation (ODE #1) 4y”-12y'+5y=0. What is true about the roots of its characteristic equation? O The characteristic equation of (ODE # 1) has two distinct real roots. O The characteristic equation of (ODE # 1) has one real root and one complex root. O The characteristic equation of (ODE # 1) has on repeated real root. O The characteristic equation of (ODE #1) has two complex roots.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 12E
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
Transcribed Image Text:QUESTION 1
Consider the following differential equation
(ODE #1) 4y”-12y'+5y=0.
What is true about the roots of its characteristic equation?
O The characteristic equation of (ODE # 1) has two distinct real roots.
O The characteristic equation of (ODE # 1) has one real root and one complex root.
O The characteristic equation of (ODE # 1) has on repeated real root.
O The characteristic equation of (ODE #1) has two complex roots.
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