Скачать с ютуб Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems в хорошем качестве

Differential Equations: Lecture 1.1-1.2 Definitions and Terminology and Initial Value Problems

This is an actual classroom lecture. This is the very first day of class in Differential Equations. We covered most of Chapter 1 which is mainly definitions, terminology, and initial value problems. Just tons of theory here. Here is the book for the lectures https://amzn.to/4ajOMyW (affiliate link). There are lots of notes and tons of definitions in this lecture. Summary of Some of the Topics - Definition of a Differential Equation - Motivation for Differential Equations - Types of Differential Equations - Order of a Differential Equation - Linear versus Nonlinear Differential Equations - Solutions to Differential Equations - One parameter families and two parameter families of solutions - Particular Solutions - Explicit versus implicit solutions - The trivial solution - The General solution - Singular solutions - The interval of definition - Initial Value problems If you enjoyed this video please consider subscribing for more content: https://www.youtube.com/user/themaths... Please leave any comments or questions in the comment section below. Thank you:)