Understanding Runge-Kutta

We derive the Runge Kutta method from scratch, and also explore a MATLAB implementation of the method. The code is provided down below, as well as references. //Watch Next What is the Delta Function: https://youtu.be/kA3r4Td2E3E The Spectral Theorem for Self Adjoint Compact Operators: https://youtu.be/Bqz73NQ5XaQ DMD Explained: https://youtu.be/_qjSprLvGS0 The Singular Value Decomposition for Compact Operators: https://youtu.be/MeGx6b3OcU8 //Books and References (For RK4 and well, everything) Burden, Faires, and Burden Numerical Analysis: https://amzn.to/30kojC5 (For Polynomial Approximation) Numerical Analysis for Scientists and Engineers: https://amzn.to/30iPA7N //Recording Equipment Canon SL3: https://amzn.to/3nZ11KU Canon T6i: https://amzn.to/3FUpkQh Rode VideoMic: https://amzn.to/3lhldGa Blue Yeti Microphone: https://amzn.to/3I1y88N Yeti Nano Microphone: https://amzn.to/3I1mriA SanDisc 256GB SD Card: https://amzn.to/3E3LOOr Neewer 5600K USB LED Lights: https://amzn.to/3xvB9cN Neewer 18 inch Ring Light: https://amzn.to/2ZvgCsc Camera Power Adapter: https://amzn.to/3D3upUu //Music Provided by Epidemic Sound (Except where noted otherwise) Summer Night - Wai Don't you worry 'bout me - Katnip Video call from Los Angeles - Trevor Kowalski Sunrise in Paris - Dan Henig (YouTube's Free Music Library) Follow me wild horse - Cospe Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel: https://www.epidemicsound.com/referral/644nao //Code BitBucket Link: https://bitbucket.org/joelrosenfeld/runge-kutta-video/src/master/ DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you! //Chaptering 0:00 Start 0:20 Prerequisites 1:50 RK Method Derivation 4:55 Implementation 6:36 Everything in action