YoVDO

High-Order Ordinary Differential Equations with More Derivatives - From Physics

Offered By: Steve Brunton via YouTube

Tags

Differential Equations Courses Mathematics Courses Engineering Courses Physics Courses Ordinary Differential Equations Courses

Course Description

Overview

Explore the derivation of higher-order differential equation systems in this 20-minute video lecture. Learn how to obtain equations with higher-order derivatives from Newton's Second Law (F=ma) by combining simple systems. Follow along as the instructor demonstrates the process using two spring-mass systems to derive a fourth-order equation. Gain insights into the general form of higher-order differential equations, understand their origins in physics, and master the procedure for deriving them from fundamental principles. The lecture includes an in-depth example derivation for a spring-mass system, providing practical application of the concepts discussed.

Syllabus

High-Order Ordinary Differential Equations with More Derivatives (from Physics)


Taught by

Steve Brunton

Related Courses

Dynamical Modeling Methods for Systems Biology
Icahn School of Medicine at Mount Sinai via Coursera
Linear Differential Equations
Boston University via edX
Equations différentielles : de Newton à nos jours
Sorbonne University via France Université Numerique
Matlab Programming for Numerical Computation
Indian Institute of Technology Madras via Swayam
Introduction to Dynamical Models in Biology
Indian Institute of Technology Guwahati via Swayam