3. (5 s) Reduce the given third order differential equation to a system of first order equations. Then write the system of equations in matrix form of the form x' = Ax+ f where A is a 3 × 3 matrix, x is a 3 × 1 vector and f is a 3 × 1 vector. y"" +3ty" +3ty' + y = 7

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 13E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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3. (5 s) Reduce the given third order differential equation to a system of first order equations. Then write the system
of equations in matrix form of the form x' = Ax+ f where A is a 3 × 3 matrix, x is a 3 × 1 vector and f is a 3 × 1
vector.
y"" +3ty" +3ty' + y = 7
Transcribed Image Text:3. (5 s) Reduce the given third order differential equation to a system of first order equations. Then write the system of equations in matrix form of the form x' = Ax+ f where A is a 3 × 3 matrix, x is a 3 × 1 vector and f is a 3 × 1 vector. y"" +3ty" +3ty' + y = 7
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,