Find the general solution of the differential equation
\(4 \frac{\mathrm{~d}^{2} y}{\mathrm{~d} x^{2}}+4 \frac{\mathrm{~d} y}{\mathrm{~d} x}+65 y=65 x^{2}+8 x+73 .\)

Show that, whatever the initial conditions, \(\frac{y}{x^{2}} \rightarrow 1\) as \(x \rightarrow \infty\).