- Solve the system symbolically (if appropriate).
- Make the necessary changes in
`initsys.m`. Note that the`B`matrix must be given some value, even if it is not used. In such cases, the empty matrix is best; i.e.,`B = []`. Choosing the desired`symbolicplot`option is done by commenting the others out; i.e., putting a`%`at the beginning of each line containing the undesired options. Save`initsys.m`then type`initsys`(or copy-and-paste at the Emporium). - Type
`sys3plot`. This may take up to a few minutes depending on your machine and the difficulty of the ODE system. In your Figure window, you should have three plots.- Upper right contains Figure 1, the solution plots , generated by MATLAB's ODE45 solver. is the solid line, is the dashed line. Time is the independent variable.
- Lower right contains Figure 3, the phase plane portrait of vs as generated by MATLAB's ODE 45 solver.
- Lower left contains Figure 2: (i) The solution plots ,
generated from your symbolic solution entered as
`x1symb`and`x2symb`in`initsys.m`; (ii) the phase plane portrait generated from your symbolic solution entered as`x1symb`and`x2symb`in`initsys.m`; (iii) a plot of the eigenvalues of matrix`A`; or (iv) nothing. This depends on the selected option for`symbolicplot`.

- Make a visual check that the information in all figures and your
``hand work'' match/agree. If all appears correct, print a copy of the
display.
- In the upper left of your printout, neatly and orderly rewrite the work you did for Item 1 (if applicable). If you were not directed to solve the system symbolically, use this area to answer any other questions.