Find the particular solution of the differential equation
\(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}+2 \frac{\mathrm{~d} y}{\mathrm{~d} x}+3 y=27 x^{2}\)
given that, when \(x=0, y=2\) and \(\frac{\mathrm{d} y}{\mathrm{~d} x}=-8\).