Question: Consider this second-order nonhomogeneous differential equation: 9y + 4y' = - 15 t cos(3t) Which of these is a suitable form of a particular solution

Consider this second-order nonhomogeneous differential equation: 9y" + 4y' = - 15 t cos(3t) Which of these is a suitable form of a particular solution Y(t) of the nonhomogeneous differential equation if the method of undetermined coefficients is used? Here, all capital letters represent arbitrary real constants. O Y(t) = At cos(3t) + Bt sin(3t) O Y(1) = At cos(3t) O Y(t) = (AP + Bt + ()sin(3t) + (D12 + Et + F)cos(31) O Y(t) = At-cos(31) + Bi-sin(31) O Y(t) = (At + B)sin(3t) + (Ct + D)cos(3t)

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