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
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage