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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Match the third order linear equations with their fundamental solution sets.
1. y" - 9y" + 20y = 0
2. y + y = 0
3. ty" - y = 0
4. y"" — by" + y' — by = 0
5. y" + 3y" + 3y + y = 0
6. y" - y" -y + y = 0
A. {1, t, t³}
B. {et, tet, t²e-t}
c. {1, cos(t), sin(t)}
D. {et, tet, e-t}
E. {et, cos(t), sin(t)}
F. {1, est, et}
Transcribed Image Text:Match the third order linear equations with their fundamental solution sets. 1. y" - 9y" + 20y = 0 2. y + y = 0 3. ty" - y = 0 4. y"" — by" + y' — by = 0 5. y" + 3y" + 3y + y = 0 6. y" - y" -y + y = 0 A. {1, t, t³} B. {et, tet, t²e-t} c. {1, cos(t), sin(t)} D. {et, tet, e-t} E. {et, cos(t), sin(t)} F. {1, est, et}
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