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Solve the given initial-value problem. X' = -1 -2 4 X + X(0) = WN 3 4 4 X(t) =Consider the following initial-value problem. (

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Solve the given initial-value problem. X' = -1 -2 4 X + X(0) = WN 3 4 4 X(t) =Consider the following initial-value problem. \"( '2)\" (5)! W 43) 3 4 5 6 Find the eigenvalues of the coefficient matrix AH). (Enter your answers as a commaseparated list.) ,1: [1.2] J Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) I"1 = [1'- ' ll I"2 = [21 3] J Solve the initialvalue problem. Mr) 2 x

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