Convergence to Stable Equilibrium
- Kristen Beck
This worksheet illustrates solutions of the initial value problem , for positive values of . Move the slider to see how the value of affects the behavior of the solution. Clicking on "Zoom In" will zoom in around the point . (This may be done repeatedly.) As you zoom, you will notice the presence of a horizontal red band; this band corresponds to the interval . The vertical green line is the graph of .