Find the general solution of the differential equation
\(\frac{\mathrm{d}^{2} x}{\mathrm{~d} t^{2}}+2 \frac{\mathrm{~d} x}{\mathrm{~d} t}+5 x=10 \sin t\)

Find the particular solution, given that \(x=5\) and \(\frac{\mathrm{d} x}{\mathrm{~d} t}=2\) when \(t=0\).

State an approximate solution for large positive values of \(t\).