Explain how to find the general solution to the given ODE.
\[ -6 \, {y} = -3 \, {y'} + 27 \, e^{\left(5 \, t\right)} \]
Answer:
\[ {y} = k e^{\left(2 \, t\right)} + 3 \, e^{\left(5 \, t\right)} \]