The applet displays the direction field for the differential equation

dy/dx = axm + bxn .
You choose the parameters a, b, m, n, by using the sliders or by typing directly in the right-hand control panels. The applet draws the direction field.

The display is the region of the first quadrant with 0 < x < 3, and 0 < y < 3.

The applet redraws itself whenever you change the direction field parameters; this may take several seconds. It also redraws itself when you scroll the page.

The applet can use Euler's method to find and display approximate solution curves of the differential equation. You choose the step size h and the initial point for the solution curve; the applet iterates to the right of the initial point.

The applet should render properly using any Java-enabled browser, such as Netscape 3.0. Macintosh users with Netscape 3.0 may experience difficulties.

If you receive a message informing you that your browser "does not understand the applet tag," examine the Security Preferences Menu of your browser. There should be a checkbox which you can use to enable Java; absence of such a box probably indicates you are using an older web-browser and you must upgrade it in order to run the applet. Please take a moment to send me an e-mail reporting any difficulties you may have experienced with the applet.
Mac Users: This applet appears not to funciton properly under Netscape on the Mac. Try Apple's Applet Runner, Javasoft's Applet Viewer, or any other Java-enabled browser instead.

Questions to Investigate: