For the system of differential equation ' = A, with coefficient matrix given by, 1 1 A) (4) -3 " (ii) A = = (a) Determine the general solution using the eigenvalue method. (b) Find the unique solution that satisfies the initial condition 7(0) = ( i ).

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
icon
Related questions
Question
5. For the system of differential equation ☞ = A, with coefficient matrix given by,
Ans
-1
1
(44)
-1
-3
2
(ii) A =
(a) Determine the general solution using the eigenvalue method.
(b) Find the unique solution that satisfies the initial condition (0) = ( i ).
Transcribed Image Text:5. For the system of differential equation ☞ = A, with coefficient matrix given by, Ans -1 1 (44) -1 -3 2 (ii) A = (a) Determine the general solution using the eigenvalue method. (b) Find the unique solution that satisfies the initial condition (0) = ( i ).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer