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Free College Math Differential Equations Help Videos
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- Complex Numbers (2)
- Eigenvalues / Eigenvectors (2)
- Euler's Method (1)
- Even / Odd Functions (1)
- First-Order Linear ODEs (5)
- Fourier Series (2)
- Geometry (1)
- LaPlace Transform and other functions (6)
- Limit Cycles (1)
- Other / Multiple Topics (0)
- Resonance (1)
- Second-Order Linear ODEs (4)
- Systems of ODEs (7)
Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle
(Differential Equations)
Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and...
Limit Cycles: Existence and Non-existence Criteria
(Differential Equations)
Limit Cycles: Existence and Non-existence Criteria -- Lecture 32. Learn about limit cycles and their criteria. Arthur Mattuck, 18.03 Differential...
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum
(Differential Equations)
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum -- Lecture 31. Some very deep non-linear...
Decoupling Linear Systems with Constant Coefficients
(Differential Equations)
Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple systems, which leads to a completely new...
Matrix Exponentials; Application to Solving Systems
(Differential Equations)
Matrix Exponentials; Application to Solving Systems -- Lecture 29. Solving systems of ODEs again; this time with some applications. Arthur...
Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters
(Differential Equations)
Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters -- Lecture 28. Learn about inhomogeneous systems of ODEs...
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
(Differential Equations)
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients -- Lecture 27. Learn what graphs of systems of differential...
Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
(Differential Equations)
Continuation: Repeated Real Eigenvalues, Complex Eigenvalues -- Lecture 26. Learn more about solving systems using Matrix Algebra. Arthur Mattuck, 18.03...
Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case)
(Differential Equations)
Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case) -- Lecture 25. Learn a more...
Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System
(Differential Equations)
Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System -- Lecture 24. A very complete...
