Session Overview
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We now begin an in depth study of constant coefficient linear equations. These are the most important DE's in 18.03, and we will be studying them up to the last few sessions. In this session we will learn algebraic techniques for solving these equations. Exponential functions will play a major role and we will see that higher order linear constant coefficient DE's are similar in many ways to the first order equation x' + kx = 0. |
Session Activities
Read the course notes:
Watch the lecture video clips:
- Constant Coefficient Second Order Homogeneous DE's (00:12:25)
- Transcript (PDF)
- Real Roots: Overdamping (00:14:59)
- Transcript (PDF)
Read the course notes:
Check Yourself
Take the quiz:
Session Activities
Read the course notes:
Watch the lecture video clips:
- Complex Roots: Underdamping (00:15:10)
- Transcript (PDF)
- Repeated Roots: Critical Damping (00:07:26)
- Transcript (PDF)
Read the course notes:
Watch the lecture video clip:
Watch the problem solving videos:
- Homogeneous Constant Coefficient Equations: Real Roots (00:09:16)
- Transcript (PDF)
- Homogeneous Constant Coefficient Equations: Any Roots (00:11:28)
- Transcript (PDF)
Complete the practice problems:
Check Yourself
Complete the problem set: