5 videos in "First-Order Linear ODEs"
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Solving First-order Linear ODE's; Steady-state and Transient Solutions
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First-order Substitution Methods: Bernouilli and Homogeneous ODE's
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First-order Autonomous ODE's: Qualitative Methods, Applications
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First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
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Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
756 views - 00:41:09
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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
More info at: http://ocw.mit.edu/terms
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.
- 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
- 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?
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.
