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This is the file you will use/modify for
submission of each first order ODE/IVP ^{2} to MATLAB. Its corresponding MATLAB
command is ` init` (the filename minus the ` .m` extension).
Each time you change the ODE ` ftx`, the symbolic solution
` ftxsln`, or any of the associated parameters/conditions,
this file must be edited, saved, and ` init` must be typed in the
command window (or copy-and-paste at the Emporium). For a complete
description of ` init.m`, see ``` init.m` ** Line-by-Line**'',
§1.3, page . The lines you will
be most concerned with are

(1) ` ftx` is the RHS of the ODE .

(2) contains the axis ranges for the graphics display. You
will adjust these to find the best ranges to view your graphics.

(3) are initial conditions you will enter * after*
obtaining them via ` slopef` and ` sol1`. Hence whatever values
are there at the beginning of a problem are generally immaterial.
However you must have specific numerical values entered there.

(4) is obtained by hand from substituting ` t0, x0` into
your symbolic solution ` ftxsln`.

(5) is the symbolic solution to the ODE
. You will obtain this by hand via the various techniques
we will study.
Two things are important to repeat: DO NOT remove any lines from
` init.m`, and be sure to use single quotes with the RHS
expressions for ` ftx` and ` ftxsln`.

** Next:** slopef.m
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*Michael Renardy*

*2000-05-12*