Sections 10.1, 10.2 and 10.3: Introduction to systems of differential equations

Annotated slides for Sections 10.1, 10.2 and 10.3.

• Math_2206_slides_10_no_notes.pdf

Please watch the following videos with the prerecorded content for Sections 10.1, 10.2 and 10.3.

1. First order systems of ODEs (with two examples)
2. Solution to a first order system of ODEs (with example)
3. Initial value problem for a first order system of ODEs (with example)
4. Linear systems of ODEs (with example)
5. Initial value problems for linear systems of ODEs (with three examples)
6. Homogeneous linear systems; Fundamental set of solutions
7. Wronskian
8. Abel's Theorem
9. Summary

Section 10.1, Pages 515-516: for further practice do any exercise from 5 to 6.
Section 10.2, Pages 519-522: for further practice do any exercise from 1 to 6.
Section 10.3, Pages 526-530: for further practice do any exercise from 1 to 4, from 7 to 13.