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 y^{\prime} = \frac{-3t}{y^2} as (-3 * t)/(y^2).
  • To enter the equation 3ty + y^{\prime} = 8, enter 8 - 3 * t * y (that is, solve for y' first.)

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