## Direction Field Plotter

This applet plots direction fields, (approximate) solution curves, and isoclines. You
should be able to use this either in the lab or at home, using a web browser that includes
Java: make sure that Java is enabled in your "Advanced Preferences".
Be patient: the applet takes some time to load, especially if you are calling
up using a slow modem. You might want to
download the Direction Field Plotter to use
at home without having to go online.
Initially you see the "Bounds and Frame" menu. Here you can set the names of the
X and Y axis
variables and the X and Y axis scales, and then label the axes by clicking "Draw Frame".
Then change to
the "Direction Field" menu (click on "Bounds and Frame" and choose "Direction Field").
Enter the
differential equation in the box after "dy/dx". Clicking the "Plot field" button will
plot the direction field.
Enter initial X and Y values in the two boxes after "Initial point [", and click
"Plot solution" to plot the
solution to the differential equation with those initial values.
Now change to the "Isoclines" menu, and you can plot isoclines. For the isocline
f(x,y) = c, enter c in the "Slope value" box.

The fourth menu is "Function Plotter". Here you enter a function of x after
"y = ", and click "Plot function" to plot this.

How to Print

Mathematical Formulas