(a) Consider the linear system X' = AX of three firstorder differential equations, where the coefficient matrix...

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(a) Consider the linear system X' = AX of three firstorder differential equations, where the coefficient matrix is

A = -5 3.


and λ = 2 is known to be an eigenvalue of multiplicity two. Find two different solutions of the system corresponding to this eigenvalue without using a special formula (such as (12) of Section 8.2).

(b) Use the procedure of part (a) to solve

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