MATH 497/597 Fall 2002

Homework due September 19, 2002

1.
Page 20, 2.1.1.

Graduate Students only

1a.
Page 20, 2.1.3.

2.
Page 37, 2.2.7, show that your vector form for the 4th order R-K method is correct when n=2 by writing it in component form.

3.
Page 37, 2.2.11, describe the stability of each initial condition and hand in your code with your solution.
Undergraduates - use the Matlab routine ode23 .
Graduates - write your own Heun's method.