Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y" + 36y=2t³ sin 6t What is/are the root(s) of the auxiliary equation associated with the given differential equation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There are no roots to the associated auxiliary equation. OB. The associated auxiliary equation has the two roots (Use a comma to separate answers as needed.) OC. The associated auxiliary equation has the double root

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