Match the third order linear equations with their fundamental solution sets. 1. y" – 7y" + 12y' = 0 | %3D 2. y" – y" – y' + y = 0 3. y" + y' = 0 %3D 4. y" – 7y" + y' – 7y = 0 5. ty" – y" = 0 6. y" + 3y" + 3y' +y = 0 A. et, tet, t'et B. 1, cos(t), sin(t) C. e", cos(t), sin(t) D. 1, e4, e3t E. e', te', et F. 1, t, t3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Match the third order linear equations with their fundamental solution sets.
1. y" – 7y" + 12y' = 0
2. y" – y" – y' + y = 0
3. y" + y' = 0
4. y" – 7y" + y'– 7y = 0
5. ty" – y" = 0
6. y" + 3y" + 3y' +y = 0
A. e, te, t'et
B. 1, cos(t), sin(t)
C. e", cos(t), sin(t)
D. 1, e4, e3t
E. e', te', et
t3
F. 1, t,
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. 1. y" – 7y" + 12y' = 0 2. y" – y" – y' + y = 0 3. y" + y' = 0 4. y" – 7y" + y'– 7y = 0 5. ty" – y" = 0 6. y" + 3y" + 3y' +y = 0 A. e, te, t'et B. 1, cos(t), sin(t) C. e", cos(t), sin(t) D. 1, e4, e3t E. e', te', et t3 F. 1, t,
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