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Concept · from MIT 18.03SC Differential Equations

Modes and the Characteristic Equation

About these materials

MIT's own material for this topic, in MIT's order: Modes and the Characteristic Equation.

Source: MIT OpenCourseWare 18.03SC Differential Equations, Fall 2011, Prof. Arthur Mattuck, Prof. Haynes Miller, Dr. Jeremy Orloff, Dr. John Lewis — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

MIT's session, in MIT's order

MIT 18.03SC · Unit II: Second Order Constant Coefficient Linear Equations · This session on MIT OpenCourseWare ↗

Session Overview

  1. Constant Coefficient Second Order Homogeneous DE'sLecture clip · 0:00–12:25 · transcript Watch
  2. Real Roots: OverdampingLecture clip · 12:25–27:24 · 14:59 long · transcript Watch

Check Yourself

Session Activities

  1. Complex Roots: UnderdampingLecture clip · 27:24–42:34 · 15:10 long · transcript Watch
  2. Repeated Roots: Critical DampingLecture clip · 42:34–50:00 · 7:26 long · transcript Watch
  1. Real Solutions from Complex RootsLecture clip · 0:00–23:02 · transcript Watch
  2. Homogeneous Constant Coefficient Equations: Real RootsProblem-solving video · transcript Watch
  3. Homogeneous Constant Coefficient Equations: Any RootsProblem-solving video · transcript Watch

Check Yourself

Where this sits in MIT 18.03SC

Open this session in the full course 18.03SC Differential Equations: all units →

MIT OpenCourseWare, Prof. Arthur Mattuck, Prof. Haynes Miller, Dr. Jeremy Orloff, Dr. John Lewis, 18.03SC Differential Equations, Fall 2011.

License: CC BY-NC-SA 4.0 · Edition: Fall 2011 · Open the original course on OCW ↗

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