Systems of ODEs Lessons

Decoupling Linear Systems with Constant Coefficients preview image
00:47:05
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Decoupling Linear Systems with Constant Coefficients

  • Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple system...
Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System preview image
00:47:02
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Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System

  • Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of...
Matrix Exponentials; Application to Solving Systems preview image
00:48:52
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Matrix Exponentials; Application to Solving Systems

  • Matrix Exponentials; Application to Solving Systems -- Lecture 29. Solving systems of ODEs again...
Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters preview image
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Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters

  • Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters -- ...
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum preview image
00:47:09
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Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum

  • Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-li...
Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle preview image
00:50:08
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Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients preview image
00:50:25
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Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients

  • Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients -- Lecture 27. L...