Solving First-order Linear ODE's; Steady-state and Transient Solutions
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Lesson Description:
Solving First-order Linear ODE's; Steady-state and Transient Solutions -- Lecture 3. Learn how to solve most differential equations.
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
- Supplementary Notes - Chapter 2 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 the first-order linear equation?
- How do you solve differential equations?
- What is a first-order linear ODE?
- What is a transient solution?
- What is a steady-state solution?
- What is standard linear form?
- What are real-world problems of differential equations?
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Staff Review
In this video, you will learn the second-most important method of solving differential equations after separation of variables, the first-order linear equation. Some real-world differential equation problems are also discussed. A critical lesson to this course.
