\section{Ex 1}
I decided to follow Phil's advice and use Python to solve this problem.  It took a few days, actually, to get everything installed properly.  Once I did, there was really no problems to speak of.  Python is a very easy language to use and to learn.

The Python SciPy package uses lsode along with lapack, blas and atlas to solve any number of problems.  As has been mentioned, it is quite easy to use and the documentation is easy to read.

It is interesting to note that for the value $\lambda = 10$, we could not get a solution.  For all other values of $\lambda$, a solution was found.  I have prepared tables for each $\lambda$ and for all specified values of $\tau$.  The tables follow:\\ \\ \\
\begin{center}
\input{p01table}
\end{center}
