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Match the third order linear equations with their fundamental solution sets. 1. y"" — y" — y' + y = 0 - 2. y"" — 7y" + 12y' = 0 3. y" + 3y" + 3y' + y = 0 4. y"" — 6y" + y' — 6y = 0 5. ty"" - y" = 0 111 6. y + y = 0 A. {et, cos(t), sin(t)} B. {et, tet, e-t} c. {et, te-t, t²e-t} D. {1, t, t³} E. {1, cos(t), sin(t)} F. {1, e¹t, e³t}

Match the third order linear equations with their fundamental solution sets. 1. y"" — y" — y' + y = 0 - 2. y"" — 7y" + 12y' = 0 3. y" + 3y" + 3y' + y = 0 4. y"" — 6y" + y' — 6y = 0 5. ty"" - y" = 0 111 6. y + y = 0 A. {et, cos(t), sin(t)} B. {et, tet, e-t} c. {et, te-t, t²e-t} D. {1, t, t³} E. {1, cos(t), sin(t)} F. {1, e¹t, e³t}

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"" — 7y" + 12y' = 0 3. y" + 3y" + 3y' + y = 0 4. y"" — 6y" + y' − 6y = 0 5. ty"" - y" = 0 /// 6. y + y = 0 A. {et, cos(t), sin(t)} B. {et, tet, e-t} c. {et, te-t, t²e¯t} D. {1, t, t³} E. {1, cos(t), sin(t)} F. {1, e¹t, e³t}
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. 1. y" — y" —− y' + y = 0 - 2. y"" — 7y" + 12y' = 0 3. y" + 3y" + 3y' + y = 0 4. y"" — 6y" + y' − 6y = 0 5. ty"" - y" = 0 /// 6. y + y = 0 A. {et, cos(t), sin(t)} B. {et, tet, e-t} c. {et, te-t, t²e¯t} D. {1, t, t³} E. {1, cos(t), sin(t)} F. {1, e¹t, e³t}
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