- Objectives
- Lecture slides
- Links to optional videos: Khan Academy

- Objectives
- Lecture slides
- For plotting slope fields, try this site or this one. You could also use SageMath as in this example.
- Links to optional videos: Khan Academy
- Euler's method: Handout, Python code
- Modified (or Improved) Euler's method: Python code
- Classic 4th-order Runge-Kutta method: Python code
- Here is a SageMath example using Sage's built-in Runge-Kutta solver.

- Objectives
- Lecture slides
- Links to optional videos: Khan Academy

- Objectives
- Lecture slides
- Lecture handout (Solution method)

- Objectives
- Lecture slides
- Lecture handout (Summary of solution methods)
- Links to optional videos: Khan Academy - Exact eqns, Khan Academy - Homogeneous eqns

- Objectives
- Lecture slides
- Links to optional videos: Khan Academy - 2nd-order linear ODE's, Khan Academy - More 2nd-order, constant-coefficient equations

- Objectives
- Lecture handout (Summary of solution methods)

Lecture handout (Undetermined coefficients and variation of parameters)

##### Section 2.6 - Forced oscillations and resonance

- Objectives
- Review of power series
- Properties of power series
- Review of Taylor series
- Common infinite series
- Lecture slides
- Lecture examples: Example 1, Example 2
- Links to videos:
,${y}^{\prime}+2xy=0$ ,${y}^{\prime}-y=0$ ${y}^{\u2033}+y=0$

- Objectives
- Lecture slides
- Lecture examples: Example 1, Example 2

- Objectives
- Lecture slides
- Table of transforms
- Links to optional videos: Khan Academy-Intro, Khan Academy-Properties

- Objectives
- Lecture slides
- Links to optional videos: Khan Academy

- Objectives
- Lecture slides
- Links to optional videos: Khan Academy
- Lecture examples:
,$t{x}^{\u2033}+(3t-1){x}^{\prime}+3x=0$ ${y}^{\u2033}+2t{y}^{\prime}-4y=1$

- Objectives
- See Theorem 1 (page 593) and Theorem 2 (page 596)

*Last updated January 27, 2023*