Systems of Differential Equations // Part 1: Linear Systems and the Eigenvalue Method
My Systems of ODE tool build for free using Maple: ►https://learn.maplesoft.com/d/4xni06d07ym0Maple 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
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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.
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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
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