Solutions and Direction Fields using Dfield6 in Matlab

To run this program, doubleclick on the Desktop Matlab icon and type in the command ``dfield6'' followed by a return. After a wait, a window will pop up where you can enter any equation x'=f(x,t) you'd like to study. Some interesting ones to try include:

• x'= .3 *x *(1-x).
• x'= t*x.
• $x'= \frac{t}{x}$.
• x'= x².
• x'= x²-t².

A Java version of this program is available on the web at the URL
http://math.rice.edu/$\tilde{\ }$dfield/dfpp.html.