Find the general solution of the differential equation frac{dy}{dt} = -4y - 9e⁻ᵗ.
A. y(t) = Ce⁻⁴ᵗ - 9e⁻ᵗ
B. y(t) = Ce⁴ᵗ - 9eᵗ
C. y(t) = Ce⁻⁴ᵗ + 9e⁻ᵗ
D. y(t) = Ce⁴ᵗ + 9eᵗ