Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation (Do not evaluate coefficients.) y"-6y +9y= 171° e 31 What are the roots of the auxiliary equation associated with the given differential equation? O A. The associated auxiliary equation has the double root The associated auxiliary equation has the two roots O B. (Use a comma to separate answers as needed.) O C. There are no roots to the associated auxiliary equation. Write the form of a particular solution. Choose the correct answer below. O B. y(t)= (Ag + Ag° +Agt* + Agf° +A,ť +A,l+ Ao]e OC. yt)=1A,1° +Ag +A,r* + Ag° +A,P +A,t+Ao] eSt OD. y()= (Ag + Agt + Agf* +Agt° + A,tP A,t+Ao] e31

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