Sections 10.1, 10.2 and 10.3: Introduction to systems of differential equations
Slides
Annotated slides for Sections 10.1, 10.2 and 10.3.
Videos
Please watch the following videos with the prerecorded content for Sections 10.1, 10.2 and 10.3.
- First order systems of ODEs (with two examples)
- Solution to a first order system of ODEs (with example)
- Initial value problem for a first order system of ODEs (with example)
- Linear systems of ODEs (with example)
- Initial value problems for linear systems of ODEs (with three examples)
- Homogeneous linear systems; Fundamental set of solutions
- Wronskian
- Abel's Theorem
- Summary
Textbook Homework
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.
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