Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y"-2y"-y'+2y=0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
Use what you know about these sorts of problems to solve the following third-order homogeneous linear
differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once
you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the
solution you found is correct.
y""-2y"-y' + 2y = 0
Transcribed Image Text:Use what you know about these sorts of problems to solve the following third-order homogeneous linear differential equation with constant coefficients. Hint: you can form a third degree characteristic polynomial. Once you have that, you can just find the three roots using Desmos or WolframAlpha. After you're done, verify that the solution you found is correct. y""-2y"-y' + 2y = 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax