Find the general solution of the nonhomogeneous equation (y'' - 2y' = 2te⁻ᵗ).

a) (y(t) = C₁e²ᵗ + C₂e⁻ᵗ - 1/2te⁻ᵗ)
b) (y(t) = C₁e²ᵗ + C₂e⁻ᵗ + te⁻ᵗ)
c) (y(t) = C₁e²ᵗ + C₂e⁻ᵗ - 1/4te⁻ᵗ)
d) (y(t) = C₁e²ᵗ + C₂e⁻ᵗ + 1/2te⁻ᵗ)