Problems P12.1, P12.3, P12.7
You should do these problems with Euler's, Heun's,
second order Runge-Kutta's (e.g., Ralston),
and predictor-corrector (with three iterations)
methods.
Try to divide the interval into at least four subintervals
and compare the results with the exact solutions as
discussed in class.
You do not have to turn in your paper. What I really expect
you to do is using these problems to gauge your understanding
of the subject. So, do the problems after finish
reading the above sections.