7 Find the particular solution of the differential equation
\(10 \frac{\mathrm{~d}^{2} x}{\mathrm{~d} t^{2}}+3 \frac{\mathrm{~d} x}{\mathrm{~d} t}-x=t+2\)
given that when \(t=0, x=0\) and \(\frac{\mathrm{d} x}{\mathrm{~d} t}=0\).