Question: Solve the given initial-value problem. X' = 3 4 1 -2 )x + (4), x(0) = (-8) x(0) = Need Help? Read It Watch It

Solve the given initial-value problem. X' = 3 4 1 -2 )x + (4), x(0) = (-8) x(0) = Need Help? Read It Watch It [-/4 Points] DETAILS ZILLDIFFEQMODAP11 8.3.009.EP. 0/6 Submissions Used Consider the following initial-value problem. X' = (- -1 -2x + (5 ) x(0) = -5 Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K, K , Solve the initial-value problem. X(t) =

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