You CAN Ace Differential Equations | |
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17calculus > differential equations > various topics |
Topics You Need To Understand For This Page
Differential Equations Alpha List
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Various Differential Equations Topics |
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This page contains several differential equations topics that are not discussed in detail but we provide some overview information and maybe a video or two, as well as links to other pages with more in-depth information, if we have any. We may expand these topics as a later date but, for now, this will get you started. Here is a list of topics on this page. |
Basic Topics | Advanced Topics | |
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Existence and Uniqueness |
Here is a discussion of the Lipschitz condition, which is related to whether a differential equation has a solution and, if so, whether the solution is unique.
Dr Chris Tisdell - Lipschitz Condition | |
Boundary Value Problems |
Here are three videos related to boundary value problems.
Dr Chris Tisdell - advanced differential equations and boundary value problems | |
Dr Chris Tisdell - how to determine eigenvalues of a boundary value problem | |
Dr Chris Tisdell - D'alembert's approach for boundary value problems | |
Euler's Method |
MIT OCW - Title: Lec 2 | MIT 18.03 Differential Equations, Spring 2006; | |
Inhomogeneous ODEs |
MIT OCW - Title: Lec 13 | MIT 18.03 Differential Equations, Spring 2006 | |
Resonance |
MIT OCW - Title: Lec 14 | MIT 18.03 Differential Equations, Spring 2006 | |
Partial Differential Equations |
Here are two videos related to pde's using the method of characteristics. We highly recommend this guy's videos.
Dr Chris Tisdell - This first video introduces the topic and gives some examples. | |
Dr Chris Tisdell - This second video gives more detail and another example. | |
Linear Systems |
Dr Chris Tisdell - How to solve systems of ODEs without matrices | |
Dr Chris Tisdell - Basic solution form to systems of differential equations | |
Dr Chris Tisdell - How to solve systems of differential equations | |
PatrickJMT - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 1 | |
PatrickJMT - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 2 | |