5. For the system of differential equation ' = A, with coefficient matrix given by, -3 -1 1 (i) A = (-2² =2), (ii) A = (¹) 3 -3 (a) Determine the general solution using the eigenvalue method. (b) Find the unique solution that satisfies the initial condition #(0) = (1).
5. For the system of differential equation ' = A, with coefficient matrix given by, -3 -1 1 (i) A = (-2² =2), (ii) A = (¹) 3 -3 (a) Determine the general solution using the eigenvalue method. (b) Find the unique solution that satisfies the initial condition #(0) = (1).
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.CR: Chapter 11 Review
Problem 12CR
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![5. For the system of differential equation ' = A, with coefficient matrix given by,
1
1
(43)
(i) A =
-3
-2
3 -2
2
2
(ii) A =
(a) Determine the general solution using the eigenvalue method.
(b) Find the unique solution that satisfies the initial condition (0) (9).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d2e83f0-ee6e-484c-9a56-b6fe6cee2270%2F7109c30d-9cd4-41c7-80ec-3cd833578943%2Fj8we6a7_processed.png&w=3840&q=75)
Transcribed Image Text:5. For the system of differential equation ' = A, with coefficient matrix given by,
1
1
(43)
(i) A =
-3
-2
3 -2
2
2
(ii) A =
(a) Determine the general solution using the eigenvalue method.
(b) Find the unique solution that satisfies the initial condition (0) (9).
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