Consider the following. (A computer algebra system is recommended.) y" – 5y' + 6y = e cos 2t + e2°(3t + 4)sin t (a) Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. O Y(t) = e2"(A1 cos 2t + A2 sin 2t) + (B1 + B2t)e' sin t + (C1 + C2t)e cos t O Y(t) = e°(A1 cos t + A2 sin t) + (B1 + B2t)e2t sin t + (C1 + C2t)e2t cos t O Y(t) = e2°(A1 cos t + A2 sin t) + (B1 + B2t)e2t sin t + (C1 + C2t)e2t cos t O Y(t) = e°(A1 cos 2t + A2 sin 2t) + (B1 + B2t)e sin t + (C1 + C2t)e cos t O Y(t) = e°(A1 cos 2t + A2 sin 2t) + (B1 + B2t)e2t sin t + (C1 + C2t)e2t cos (b) Use a computer algebra system to find a particular solution of the given equation. Y(t) =

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