5 Find the particular solution of the differential equation
$$2 \frac { d ^ { 2 } y } { d x ^ { 2 } } + 2 \frac { d y } { d x } + y = 4 x ^ { 2 } + 3 x + 3$$
given that, when \(x = 0 , y = \frac { d y } { d x } = 0\).
5 Find the particular solution of the differential equation
$$2 \frac { d ^ { 2 } y } { d x ^ { 2 } } + 2 \frac { d y } { d x } + y = 4 x ^ { 2 } + 3 x + 3$$
given that, when $x = 0 , y = \frac { d y } { d x } = 0$.\\
\hfill \mbox{\textit{CAIE Further Paper 2 2022 Q5}}