The variables \(x\) and \(y\) are related by the differential equation
\(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}+3 \frac{\mathrm{~d} y}{\mathrm{~d} x}+2 y=2 x+1\)
(a) Find the general solution for \(y\) in terms of \(x\).
(b) State an approximate solution for large positive values of \(x\).