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Use the annihilator method to determine the form of a particular solution for the given equation. u +u' - 12u = cos (4x) +

Use the annihilator method to determine the form of a particular solution for the given equation. u" +u' - 12u = cos (4x) + 5 ...... Find a differential operator that will annihilate the nonhomogeneity cos (4x) + 5. (Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.)

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