Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) y" - 10y' +25y = 13t85t 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 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 A. y(t)=t(A₁tⓇ+A₁t³ +A₁tª¹ + A₂t³ + A₂t² + A₁t+ A₁] est O B. y(t) = (AgtⓇ+Agt5 +A₁t² + A₂t³ + A₂t² + A₁t+ A₂) ³¹² OC. y(t) = 1² (Ast° +Agt³ + A₁tª + A₂t³ + A₂t² + A₁t+ A₂) est O D. y(t) = (Agt² + Agt³ +A₁t² + Azt³ + A₂t² + A₁t+ A₂) est

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