Use the annihilator method to determine the form of a particular solution for the given equation. u' + 6u' + 8u = cos (3x) +5 ..... Find a differential operator that will annihilate the nonhomogeneity cos (3x) + 5. D° + 9D (Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.) What is the form of the particular solution?

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