# Differential Equations Course acquired through MIT OpenCourseWare by OCW

This collection of videos is from the video series Differential Equations Course acquired through MIT OpenCourseWare

Differential Equations course taught by Arthur Mattuck from Spring 2006 Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 23, 2008). License: Creative Commons BY-NC-SA. More info at: http://ocw.mit.edu/terms

00:44:19
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### Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems

• Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems -...
00:44:07
• OCW
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### Using Laplace Transform to Solve ODEs with Discontinuous Inputs

• Using Laplace Transform to Solve ODEs with Discontinuous Inputs -- Lecture 22. The last lecture ...
00:44:54
• OCW
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### Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions

• Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions -- Lecture 23. Movi...
00:47:02
• OCW
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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...
00:49:05
• OCW
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### Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case)

• Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and ...
00:46:36
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### Continuation: Repeated Real Eigenvalues, Complex Eigenvalues

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...
00:46:52
• OCW
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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 -- ...
00:48:52
• OCW
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### Matrix Exponentials; Application to Solving Systems

• Matrix Exponentials; Application to Solving Systems -- Lecture 29. Solving systems of ODEs again...
00:47:05
• OCW
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### Decoupling Linear Systems with Constant Coefficients

• Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple system...