2 The variables \(x\) and \(y\) are related by the differential equation
$$6 \frac { d ^ { 2 } x } { d t ^ { 2 } } + 5 \frac { d x } { d t } + x = t ^ { 2 } + 10 t + 13$$
- Find the general solution for \(x\) in terms of \(t\).
- State an approximate solution for large positive values of \(t\).