Match the third order linear equations with their fundamental solution sets. 1. y′′′+y′=0 2. y′′′+3y′′+3y′+y=0 3. y′′′−7y′′+12y′=0 4. y′′′−3y′′+y′−3y=0 5. y′′′−y′′−y′+y=0 6. ty′′′−y′′=0
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Answer:
1. y'''−5y''+y'−5y=0
2. y'''−y''−y'+y=0
3. y'''−7y''+12y'=0
4. y'''+3y''+3y'+y=0
5. ty'''−y''=0
6. y'''+y'=0
A. et tet e−t
B. 1 t t3
C. 1 e4t e3t
D. 1 cos(t) sin(t)
E. e5t cos(t) sin(t)
F. e−t te−t t2e−t
Answered by
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Step-by-step explanation:
1. y'''−5y''+y'−5y=0
2. y'''−y''−y'+y=0
3. y'''−7y''+12y'=0
4. y'''+3y''+3y'+y=0
5. ty'''−y''=0
6. y'''+y'=0
A. et tet e−t
B. 1 t t3
C. 1 e4t e3t
D. 1 cos(t) sin(t)
E. e5t cos(t) sin(t)
F. e−t te−t t2e−t
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