Chapter 8, Problem 8.27P

To determine

(a)

The values of $\mu$ in the given model equation $\ddot{x}-\left(\mu +2\right)\dot{x}+\left(2\mu +5\right)x=0$ of a system, if the system is stable, neutrally stable and unstable.

To determine

(b)

The values of $\mu$ in the given model equation $\ddot{x}-\left(\mu +2\right)\dot{x}+\left(2\mu +5\right)x=0$ of a system, if the system is under damped and overdamped.