Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt x-(1)~* -6t e Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = х (3) For X = e -6t one has X' = AX = 6t Since the above expressions ---Select-- is a solution of the given system. 3

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