Find the particular solution of the differential equation
\(2 \frac{\mathrm{~d}^{2} y}{\mathrm{~d} x^{2}}+2 \frac{\mathrm{~d} y}{\mathrm{~d} x}+y=4 x^{2}+3 x+3\)
given that, when \(x=0, y=\frac{\mathrm{d} y}{\mathrm{~d} x}=0\).