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Since systems of differential equations are more complicated than single
equations, handling them in MATLAB is a bit different. One must submit the
RHS of the whole system to one of MATLAB's solvers rather than the RHS of
just a single equation. So we can no longer just enter ` ftx=`
directly into an ` init.m` file as before. For systems, MATLAB requires
that the RHS of the system be submitted as a matrix ` function` that is
contained in its own M-file. However for many systems, we can create generic
function M-files, then supply the parameters specific to the situation
in some kind of initialization file. (In our case, ` initsys.m`.)
To simplify matters, the generic M-files for functions as well as for
solving and plotting will be made available to you. For those of you
working at home, you can download them. At the Emporium, the files
will be loaded onto the computers there. One further simplification
will be to generally work in
so we can obtain relatively simple
graphs.

**Subsections**

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*Michael Renardy*

*2000-05-12*