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
Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
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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
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Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models -- Lecture 8. More applications of ODEs in real-world situations.
- Lecture Notes - Lecture Notes
- Muddy Card Responses - Muddy Card Responses are explanations of topics that were confusing to students
- Problem Set 2 - Problem Set 2
- Problem Set 2 Solutions - Problem Set 2 Solutions
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
- What are some real-world applications to ODEs?
This lesson takes off from the previous lesson and does more application with complex numbers, exponentials, and trig functions. This is a very involved lesson including many applications to temperature, decay and growth models, mixing, and circuits. Also, vectors are mixed in.
