The governing equations and initial conditions of a dynamic system are provided. Plot the specified output(s), together with the input(s), by using the lsim command. Note that \(u(t)\) denotes the unit-step function.

\(8 \ddot{x}+4 \dot{x}+5 x=\frac{3}{5} e^{-t / 3} \sin t, \quad x(0)=\frac{2}{3}, \quad \dot{x}(0)=0,0 \leq t \leq 15\)

Output: \(x(t)\)