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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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).
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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