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Match the third order linear equations with their fundamental solution sets. 1. y" — y" − y' + y = 0 - 2. y + y = 0 3. y"" + 3y" + 3y + y = 0 4. ty"" — y" = 0 5. y"" - 9y"+y' - 9y=0 6. y9y"+ 20y' = 0 A. {e-t, te-t, t²e-t} B. {eºt, cos(t), sin(t)} c. {1, t, t³} D. {1, est, e4t} E. {1, cos(t), sin(t)} F. {et, tet, e-t}

Match the third order linear equations with their fundamental solution sets. 1. y" — y" − y' + y = 0 - 2. y + y = 0 3. y"" + 3y" + 3y + y = 0 4. ty"" — y" = 0 5. y"" - 9y"+y' - 9y=0 6. y9y"+ 20y' = 0 A. {e-t, te-t, t²e-t} B. {eºt, cos(t), sin(t)} c. {1, t, t³} D. {1, est, e4t} E. {1, cos(t), sin(t)} F. {et, tet, e-t}

Advanced Engineering Mathematics
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" — y' + y = 0 /// 2. y + y = 0 3. y"" + 3y" + 3y' + y = 0 4. ty""y"=0 5. y" — 9y"+y' — 9y = 0 6. y"" — 9y" + 20y' = 0 A. {e-t, te-t, t²e-t} B. {et, cos(t), sin(t)} c. {1, t, t³} D. {1, est, et} E. {1, cos(t), sin(t)} F. {et, tet, e-t}
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. 1. y"" — y" — y' + y = 0 /// 2. y + y = 0 3. y"" + 3y" + 3y' + y = 0 4. ty""y"=0 5. y" — 9y"+y' — 9y = 0 6. y"" — 9y" + 20y' = 0 A. {e-t, te-t, t²e-t} B. {et, cos(t), sin(t)} c. {1, t, t³} D. {1, est, et} E. {1, cos(t), sin(t)} F. {et, tet, e-t}
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