) Match the third order linear equations with their fundamental solution sets. 1. y" + y' = 0 2. y" – 5y" + 6y' = 0 - 3. y" – 3y" + y' – 3y = 0 - 4. y" – y" – y' + y = 0 5. y" + 3y" + 3y' + y = 0 6. ty" – y" = 0 A. {e', te', e-t} В. {1, t, t} C. {et, tet, t'e t} D. {1, cos(t), sin(t)} E. {et, cos(t), sin(t)} F. {1, е*, е3"}
) Match the third order linear equations with their fundamental solution sets. 1. y" + y' = 0 2. y" – 5y" + 6y' = 0 - 3. y" – 3y" + y' – 3y = 0 - 4. y" – y" – y' + y = 0 5. y" + 3y" + 3y' + y = 0 6. ty" – y" = 0 A. {e', te', e-t} В. {1, t, t} C. {et, tet, t'e t} D. {1, cos(t), sin(t)} E. {et, cos(t), sin(t)} F. {1, е*, е3"}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![) Match the third order linear equations with their fundamental solution sets.
1. y" + y' = 0
2. y" – 5y" + 6y' = 0
-
3. y" – 3y" + y' – 3y = 0
-
4. y" – y" – y' + y = 0
5. y" + 3y" + 3y' + y = 0
6. ty" – y" = 0
A. {e', te',
e-t}
В. {1, t, t3}
C. {e+, tet, t'e+}
D. {1, cos(t), sin(t)}
E. {e3t, cos(t), sin(t)}
F. {1, е*, е3"}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5940b81b-a362-461e-8f8c-3c45ded62704%2F4bd92aa3-88d7-48c9-ab86-883366db4fa1%2F5vpa7s_processed.png&w=3840&q=75)
Transcribed Image Text:) Match the third order linear equations with their fundamental solution sets.
1. y" + y' = 0
2. y" – 5y" + 6y' = 0
-
3. y" – 3y" + y' – 3y = 0
-
4. y" – y" – y' + y = 0
5. y" + 3y" + 3y' + y = 0
6. ty" – y" = 0
A. {e', te',
e-t}
В. {1, t, t3}
C. {e+, tet, t'e+}
D. {1, cos(t), sin(t)}
E. {e3t, cos(t), sin(t)}
F. {1, е*, е3"}
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