Match the third order linear equations with their fundamental solution sets. L1. y" – 7y" + 10y' = 0 2. y" +y = 0 3. у" - 5у" +у —5у %3D0 _4. ty" – y' = 0 _5. y" – y" – y' +y=0 _6. y" +3y" +3y +y=0 | - A. {e-', te-', t²e-1} B. {1, cos(t), sin(t)} C. {e', te' , e-'} D. {1, et, e² } E. {e", cos(t), sin(t)} F. {1, t, 1³ }

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Match the third order linear equations with their
fundamental solution sets.
L1. y" – 7y" + 10y' = 0
2. y" +y = 0
3. у" - 5у" +у —5у %3D0
_4. ty" – y' = 0
_5. y" – y" – y' +y=0
_6. y" +3y" +3y +y=0
|
-
A. {e-', te-', t²e-1}
B. {1, cos(t), sin(t)}
C. {e', te' , e-'}
D. {1, et, e² }
E. {e", cos(t), sin(t)}
F. {1, t, 1³ }
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. L1. y" – 7y" + 10y' = 0 2. y" +y = 0 3. у" - 5у" +у —5у %3D0 _4. ty" – y' = 0 _5. y" – y" – y' +y=0 _6. y" +3y" +3y +y=0 | - A. {e-', te-', t²e-1} B. {1, cos(t), sin(t)} C. {e', te' , e-'} D. {1, et, e² } E. {e", cos(t), sin(t)} F. {1, t, 1³ }
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