5 videos in "FirstOrder Linear ODEs"

Solving Firstorder Linear ODE's; Steadystate and Transient Solutions

Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's

Firstorder Autonomous ODE's: Qualitative Methods, Applications

Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods

Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models
Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
2512 views, 2 ratings  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 BYNCSA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
(
download video
)
Firstorder 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
 InputResponse Models  InputResponse 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 firstorder ODE with constant coefficients?
 What is a steadystate 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.