111 I + 3y" + 3y + y = 0 How many linearly independent solutions would you need to find in order to construct the general solution to this equation?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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I
y" + 3y" + 3y + y = 0
How many linearly independent solutions would you need to find in order to construct the general
solution to this equation?
Transcribed Image Text:I y" + 3y" + 3y + y = 0 How many linearly independent solutions would you need to find in order to construct the general solution to this equation?
Expert Solution
Step 1

given differential equation 

y'''+3y''+3y'+y=0 

here order of differential equation is 3.

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