YoVDO

More Examples of Second Order Differential Equations

Offered By: Steve Brunton via YouTube

Tags

Differential Equations Courses MATLAB Courses Ordinary Differential Equations Courses Eigenvalues Courses

Course Description

Overview

Explore more examples of second-order Ordinary Differential Equations and their solutions in this 32-minute video lecture. Review the characteristic polynomial and learn how to apply initial conditions. Discover the relationship between eigenvalues of the matrix system and roots of the characteristic polynomial. Follow along with practical examples, including writing equations as matrix systems and using MATLAB to plot and integrate solutions. Examine both stable and unstable systems through multiple examples, enhancing your understanding of differential equations and their applications.

Syllabus

First Example
Writing as a Matrix System of Equations
Matlab Code Example: Plotting and Integrating the Solution
Matlab Code Example: Plotting and Integrating the Solution
Second Example Unstable System
Third Example


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