High-Order Ordinary Differential Equations with More Derivatives - From Physics
Offered By: Steve Brunton via YouTube
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 BiologyIcahn 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