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Lecture

Ordinary Differential Equations: Definitions and Solutions

In course

MATH-106(f): Analysis II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

Description

This lecture covers the definitions and solutions of Ordinary Differential Equations (ODEs). It starts by introducing the concept of ODEs and their general form. The lecture explains the notation used for ODEs and the domain of the solution. It then delves into examples of ODEs, polynomial degrees, and autonomous solutions. The lecture also discusses the concept of maximal solutions and general solutions, along with specific examples to illustrate these concepts. Additionally, it explores the solution of Cauchy's problem and the verification of solutions. The lecture concludes with the resolution of ODEs with separate variables and informal currents.

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Instructors (3)

David Valentin Strütt

Adélie Eliane Garin

Boris Buffoni

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Top-level domain

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Example.com

The domain names example.com, example.net and example.org are second-level domain names in the Domain Name System of the Internet. They are reserved by the Internet Assigned Numbers Authority (IANA) at the direction of the Internet Engineering Task Force (IETF) as special-use domain names for documentation purposes. The domain names are used widely in books, tutorials, sample network configurations, and generally as examples for the use of domain names.

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