Linear equations: Section 1

From the ODE with Matlab manual: page 24, 1-6.

From the textbook: Section 1: 1, 3, 5, 11 (Draw the Directional fields using Matlab-"dfield" program.)
13, 16, 17, 21, 22, 23, (Draw the Directional fields using Matlab-"dfield" program and draw the computed solution using Matlab-"plot" function)
26, 28, 31, 33.

Matlab Homework instructions.

Due: Wednesday 1-22

Separable ODE's: Section 2
3, 6, 7, 10, 12, 19, (you may use "dfield" and "plot")
22, 23, 25, 31, 33

Due: Wednesday 1-29

Aplications: Section 3
6,7,26

Differences between linear and non-linear ODE's: Section 4
1, 4, 6, 8, 9, 13, 14, 15, 25, 26, 28, 29.

Due: Wednesday 2-5

Autonomous Equations and population dynamics: Section 5
From Matlab Manual, page 26: 13,14,15,18.19.20.
3, 4, 5, 7, 8, 9, 18, 20.(use "dfield" and "plot" as needed)

Due: Wednesday 2-12

Exact equations: Section 6:
1, 2, 8, 9, 16, 20, 21, 25, 27, 29.

Due: Wednesday 2-19

Numerical approximations: Section 7
3, 4, : Use the eul-command from matlab (see Matlab manual pages 51-55 for instructions) do the comparisons between the computed and exact solution using the plot function as indicated in page 54.
13 : Use the eul-command from matlab. No comparison with the exact solution.

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Matlab Homework instructions.

Due: This homework set will be due at a later date to be announced. Proceed to the next assignment on Chapter 3

From Miscellaneous problems on pages 127-127: Optional, but make sure you workout as many problems as you need.

Not Due

Section 1:
3, 5, 7, 10,11, 13, 17, 19, 30, 31.
For problems 10,11,13,19, 30 and 31, write the equations as a first order system. Then use `pplane5' from MATLAB to graph the phase diagram and to plot the solution. For the use of `pplane5' consult ODE's using MATLAB, chapter 6, pages 87 to 97.

Due: written part on Wednesday 2-26 - Matlab assignment for Wed March 5

Section 2:
2, 3, 5, 8, 11, 13, 15, 17.

Due: Wednesday March 5

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Section 3:
1, 4, 6, 15, 17, 18

Due: Monday March 17

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Section 4:
1-4, 7, 8, 11, 12, 15, 17, 19, 21, 27, 29, 39, 40.
For problems 17, 19, 21, write the equations as a first order system. Then use `pplane5' from MATLAB to graph the phase diagram and to plot the solution

Due: Wednesday March 19

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Section 5:
2, 5, 8, 11, 12, 15, 23, 25, 30.
For problems 11, 12 and 15 write the equations as a first order system. Then use `pplane5' from MATLAB to graph the phase diagram and to plot the solution

Due: Monday March 24

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Section 6:
7, 8, 9, 10, 11, 12, 17, 18.
For problems 17 and 18 write the equations as a first order system. Then use `pplane5' from MATLAB to graph the phase diagram and to plot the solution

Due: Wednesday March 26

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Section 7:
2, 5, 10, 13, 15.

Due: Thursday March 27

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REMAINDER: Thursday March 27 second in-class midterm

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Section 8:
3, 6, 9. (Use `pplane5' and `plot' to check you answers)

Section 9:
5, 7, 9. (Use `pplane5' and `plot' to check you answers)

Due: Wednesday April 2nd

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Chapter 5

Section 1:
9, 11, 12, 13, 14, 15, 17, 18, 23, 24.