8 Find the particular solution of the differential equation
\(9 \frac{\mathrm{~d}^{2} x}{\mathrm{~d} t^{2}}+6 \frac{\mathrm{~d} x}{\mathrm{~d} t}+x=50 \sin t\)
given that when \(t=0, x=0\) and \(\frac{\mathrm{d} x}{\mathrm{~d} t}=0\).