This applet is designed to explore the dynamics of the logistic differential equation [math]y' = My\left( 1-\frac{y}{k} \right)[/math]. The sliders change the weights of [math]M[/math] and [math]k[/math] and the input box allows you to change the form of the differential equation.
[list] [*]Is [math]y=0[/math] a stable or an unstable equilibrium point? Can this behavior change? [*]What is the value of the stable equilibrium? [*]What happens if the initial condition is larger (or smaller) than the equilibrium value? [/list]