First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
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Lesson Description:
First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods -- Lecture 7. Learn how to solve linear ODEs and what solution curves look like.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Lecture Notes - Lecture Notes
- Input-Response Models - Input-Response Models
- Supplementary Notes - Chapter 4 Supplementary Notes written by Prof. Miller
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
Questions answered by this video:
- What is a first-order ODE with constant coefficients?
- What is a steady-state solution?
- What is a transient solution?
- How do you solve a linear ODE?
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Staff Review
This video does some more to explain what solutions to linear ODEs look like, how to solve them using ordinary methods, and using complex methods to solve. This is another rather abstract lesson without actually solving an ODE.
