Uploads from Dr. Trefor Bazett

Currently Playing: Systems of Differential Equations // Part 1: Linear Systems and the Eigenvalue Method

Check out my (free) Systems of ODE tool built using Maple: ►https://learn.maplesoft.com/d/4xni06d07ym0 Maple is powerful mathematical software for solving, exploring, visualizing, and understanding mathematics. It combines symbolic and numeric computation, visualization, programming, and specialized tools for areas such as calculus, linear algebra, differential equations, and much more. It’s also remarkably easy to get started with, giving students access to powerful mathematics without a steep learning curve. ►Learn more about Maple: https://www.maplesoft.com/products/Maple/?p=TC-9857 ►Students can purchase the full version of Maple at a special student price: https://www.maplesoft.com/store/?p=TC-9857 Maple Learn is a web-based environment for exploring and learning mathematics interactively. Students can work with equations, calculations, graphs, and visualizations in an intuitive workspace, and explore a large collection of free interactive math documents online. Full access to Maple Learn is also included with Maple. ►Explore Maple Learn: https://www.maplesoft.com/products/learn/?p=TC-9857 Full Differential Equations Playlist: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw 0:00 Intro to Systems of Differential Equations 0:51 The geometric picture (Phase Portraits) 3:44 Linear vs Non-Linear 4:31 The easiest system 5:45 Eigenvalue Method 15:10 Getting Eigenvectors 16:35 The qualitative possibilities 21:48 Maple ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: https://patreon.com/DrTrefor ► CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes ► MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX OTHER PLAYLISTS: ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: http://tiktok.com/@drtrefor ►Instagram (photography based): http://instagram.com/treforphotography