6 videos in "LaPlace Transform and other functions"

Introduction to the Laplace Transform; Basic Formulas Pt 1

Introduction to the Laplace Transform; Basic Formulas Pt 2

Derivative Formulas; Using the Laplace Transform to Solve Linear ODEs

Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems

Using Laplace Transform to Solve ODEs with Discontinuous Inputs

Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
Introduction to the Laplace Transform; Basic Formulas Pt 1
Introduction to the Laplace Transform; Basic Formulas Pt 1
3936 views, 2 ratings  00:05:24
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BYNCSA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
(
download video
)
Introduction to the Laplace Transform; Basic Formulas  Lecture 19a. Learn about the Laplace Transform and some basic formulas for its use.
 Lecture Notes  Lecture Notes
 Recitation Problems  Recitation Problems and classwork exercises
 Recitation Solutions  Recitation problem solutions
 What is the Laplace Transform?
 Where does the Laplace Transform come from?
 What is the most popular way of solving differential equations?
 How can you derive the Laplace Transform?
 How does the Laplace Transform relate to power series?
You can finally learn where the Laplace Transform, this incredibly popular and useful method of solving differential equations, comes from. This is a really interesting lesson and explains how the transform actually comes about.