Solve the differential equation using the method of undetermined coefficients:
y'' - 4y' = t³ \cos(t) e⁻²ᵗ
A. y(t) = (At⁴ + Bt³ + Ct² + Dt + E) \cos(t) e⁻²ᵗ + F
B. y(t) = (At⁴ + Bt³ + Ct² + Dt + E) \sin(t) e⁻²ᵗ + F
C. y(t) = (At⁴ + Bt³ + Ct² + Dt + E) e⁻²ᵗ + F
D. y(t) = (At⁴ + Bt³ + Ct² + Dt + E) \sin(t) \cos(t) e⁻²ᵗ + F

Q&A Education