First calculate the operational determinant of the given system in order to determine how many arbitrary constants should appear in a general solution. Then attempt to solve the system explicitly. (D²+1)x-D²y=6e¯t (D² -1)x+ D²y = 0 Find the operational determinant. The operational determinant is equal to 2D4 . Based on the operational determinant, the general solution will have arbitrary constants.

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