Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Solving General High-Order, Linear Ordinary Differential Equations

Steve Brunton via YouTube

Overview

Learn how to solve general high-order linear differential equation systems in this 25-minute video lecture. Explore the use of characteristic polynomials and linear superposition to tackle complex ODEs. Discover the step-by-step process of guessing solutions, deriving characteristic polynomials, and constructing general solutions. Gain insights into applying initial conditions and understand the nuances of Wronskian determinants in the context of ODEs. Follow along with detailed explanations and examples to enhance your understanding of advanced differential equation solving techniques.

Syllabus

Overview
Guess xt = explambda*t and Plug Into ODE
Characteristic Polynomial
The General Solution
Using Initial Conditions
It's *not* a Wronskian!!! or is it!

Taught by

Steve Brunton

Reviews

Start your review of Solving General High-Order, Linear Ordinary Differential Equations

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.