Introduction to the Laplace Transform; Basic Formulas Pt 1

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Lesson Summary:

In this introductory lesson on the Laplace Transform, you'll learn about the most popular method for solving differential equations in engineering and science. The Laplace Transform is a powerful tool that can be used to solve complicated problems, but it can also be mysterious to those who haven't used it before. The lesson introduces the Laplace Transform by thinking of it in a way that dispels its mystery by comparing it to power series. The lesson will help you understand how to use the Laplace Transform to solve differential equations efficiently.

Lesson Description:

Introduction to the Laplace Transform; Basic Formulas -- Lecture 19a. Learn about the Laplace Transform and some basic formulas for its use.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
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Questions answered by this video:
  • 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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.