Find the general solution to the homogeneous differential equation (/d²y/dt² - 6/dy/dt + 9y = 0). Use (C₁) and (C₂) in your answer to denote arbitrary constants.
a) (y(t) = (C₁ + C₂t)e³ᵗ)
b) (y(t) = C₁e³ᵗ + C₂te³ᵗ)
c) (y(t) = C₁e³ᵗ + C₂e³ᵗ)
d) (y(t) = C₁e³ᵗ + C₂e⁻³ᵗ)