From the course: Complete Guide to Differential Equations Foundations for Data Science

Unlock this course with a free trial

Join today to access over 24,900 courses taught by industry experts.

Inverse Laplace transform

Inverse Laplace transform

From the course: Complete Guide to Differential Equations Foundations for Data Science

Start my 1-month free trial Buy for my team

Inverse Laplace transform

“

- [Instructor] In the previous video, you learned about various properties of Laplace transforms. These are all very useful to know, so I will continue exploring one in particular in this video known as the inverse Laplace transform. Let's explore what the inverse Laplace transform is. An inverse Laplace transform is when you go the other direction of what you've been doing so far with Laplace transforms. So instead of converting a time function into a frequency function, you will now be converting a frequency function into a time function. What you're going to do is you're going to have a function where you'll use an inverse Laplace transform to find the original time function of it. Remember, your Laplace transform is represented by the capital L, your hard brackets and f of t, which I will often refer to as the Laplace transform of f of t, and this is equal to your frequency function, capital F of s. So your inverse Laplace transform is given by capital L to the negative one of…

Contents