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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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...

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...