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.

\(64 \ddot{x}+16 \dot{x}+17 x=u(t-1), \quad x(0)=0, \quad \dot{x}(0)=1, \quad 0 \leq t \leq 40\)

Output: \(x(t)\)