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Differential Equations Alpha List
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Various Differential Equations Topics
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.
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
MIT OCW - Title: Lec 2 | MIT 18.03 Differential Equations, Spring 2006;
MIT OCW - Title: Lec 13 | MIT 18.03 Differential Equations, Spring 2006
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.
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