Verify that the vector X is a solution of the given homogeneous system. For X = (3) e- Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. = X': = (3) X': || dx dt = dy dt e = 3x - 3y AX = = 3 3 I 3x - 7y; one has -3 -7 X= Since the above expressions ---Select--- X -6t X = (3) e is a solution of the given system. -6t

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