Direction Fields Applet
This is a Java applet that allows you to plot direction fields for first-order differential equations. Instructions appear below the applet.
Instructions:
- You should see the applet above these instructions. If not, make sure that Java is enabled in your browser. You may need to accept a security warning in order to view the applet.
- The fields “tmin”, “tmax”, “ymin”, “ymax” allow you to set the domain and range of the axes.
- The field labeled “*” should be set to 1 for now. Other values will result in an incorrectly scaled field. (In Chapter 4, we’ll understand what this field does for us.)
- In the bottom field, enter the expression for the differential equation you wish to graph. Be sure to enter a ‘*’ to indicate multiplication, even if we wouldn’t usually write a ‘*’ there. For example, enter the equation
as (-3 * t)/(y^2).
To enter the equation , enter 8 - 3 * t * y (that is, solve for
first.)