# Systems of ODEs Lessons

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### Decoupling Linear Systems with Constant Coefficients

• Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple system...
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...
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...
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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 -- ...
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...
00:50:08
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### Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle

• Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borde...
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...