On the Instability and Critical Damping Conditions, $k\tau =1/e$ and $k\tau =\pi /2$ of the equation $\dot{\theta }=-k\theta (t-\tau )$

Z. Jane Wang

In this note, I show that it is possible to use elementary mathematics, instead of the machinery of Lambert function, Laplace Transform, or numerics, to derive the instability cond…