Math 293 Homework #1  Due Wednesday 9/4/96 in lecture
(See handout on HW solution format)

1. Make sure you can do all the tutorials and all problems in the tutorials in Pratap's
MATLAB book.

2. Make sure you can do all these problesm:  E&P 1.1.1-42

3. Hand in:  E&P1.1.32,35,42

4. Numerically solve the equation

    x' = x(1-x)  with x(0)=.01  with  0<t<5

   and plot the solution  (x' means dx/dt in this context).

   [Hint if using MATLAB (please do):
     use [t z] = ode23('myfun',t0,tf,z0)
     where you have a separate file called
     'myfun.m defined as

     function zdot=myfun(t,z)
     % etc

     as in the example that was passed out (and is available
     on the 293 home page).


   [Also try http://math.cornell.edu/~bterrell/de/de.html
    to get a numerical solution.  This WWW page needs
    Netscape 3 (which you can download for free from
    Netscape).]