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Match the third order linear equations with their fundamental solution sets. 1. y - y" -y + y = 0 2. y" - 8y" + y − 8y = 0 3. y + y = 0 4. y + 3y" + 3y + y = 0 5. ty" - y" = 0 6. y" - 6y" + 8y = 0 A. {1, t, t³} B. {et, tet, et} C. {1, cos(t), sin(t)} D. {est, cos(t), sin(t)} E. {1, et, e²t} F. {et, te-¹, t²e=¹}

Match the third order linear equations with their fundamental solution sets. 1. y - y" -y + y = 0 2. y" - 8y" + y − 8y = 0 3. y + y = 0 4. y + 3y" + 3y + y = 0 5. ty" - y" = 0 6. y" - 6y" + 8y = 0 A. {1, t, t³} B. {et, tet, et} C. {1, cos(t), sin(t)} D. {est, cos(t), sin(t)} E. {1, et, e²t} F. {et, te-¹, t²e=¹}

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" - 8y" + y − 8y = 0 3. y + y = 0 4. y + 3y" + 3y + y = 0 5. ty" - y" = 0 6. y" - 6y" + 8y = 0 A. {1, t, t³} B. {et, tet, et} C. {1, cos(t), sin(t)} D. {est, cos(t), sin(t)} E. {1, et, e²t} F. {et, te-¹, t²e=¹}
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. 1. y - y" -y + y = 0 2. y" - 8y" + y − 8y = 0 3. y + y = 0 4. y + 3y" + 3y + y = 0 5. ty" - y" = 0 6. y" - 6y" + 8y = 0 A. {1, t, t³} B. {et, tet, et} C. {1, cos(t), sin(t)} D. {est, cos(t), sin(t)} E. {1, et, e²t} F. {et, te-¹, t²e=¹}
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