2 2 1 2 5 2 1 2 2 dt 2 (3) 1 + 6t°e + 7t°e? -1 -1 + 8t'et 1 Hint: The characteristic polymomial of the coefficient matrix is -(A-1)2(A- 7). Moreover 1 u,(t) = t®e' +t'e + t°e7t 1 is a particular solution of the system.

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