Find the response of a system with the following equation of motion:

\[2 \ddot{x}+8 \dot{x}+16 x=5 \delta(t)\]

using the initial conditions \(x(t=0)=x_{0}=0.05 \mathrm{~m}\) and \(\dot{x}(t=0)=\dot{x}_{0}=0\). Plot the response of the system.