Convolution Theorem is very powerful for finding inverse Laplace Transforms. This theorem states that: If and are piecewise continuous on and of exponential order, then
.
Let's apply Convolution Theorem to find
.
Let ,
so that ,
.
Thus
Recall from trigonometry:
, and
,
so
If we set ;
=
=
-
- Active Topics
-
-
- by Eli 4 hours ago Russia Invades Ukraine View the latest post Replies 661 Views 226107
- by Eli 7 hours ago Re: What is in Your Mind? View the latest post Replies 698 Views 290474
- by Eli 1 day ago President Museveni's Speech During International Development Association (IDA) Summit View the latest post Replies 1 Views 60
- by Eli 1 day ago From Simple Linear Regression Analysis to Covariance & Correlation to Independent Determinant, and R-Squared View the latest post Replies 11 Views 24372
- by Eli 1 day ago All in One: YouTube, TED, X, Facebook and Instagram Reels, Videos, Images and Text Posts View the latest post Replies 323 Views 25201
- by Eli 4 days ago Collection of Greatest Christian Hymns of all Times View the latest post Replies 34 Views 58972
- by Eli 5 days ago Pondering Big Cosmology Questions Through Lectures and Dialogues View the latest post Replies 34 Views 57641
- by Eli 6 days ago Programmatically Manipulate Files: Renaming, Reading, Writing, Deleting, and Moving Files Between Folders View the latest post Replies 7 Views 8001
- by Eli 1 week ago Iran Launches Retaliatory Attack Against Israel, and Israel Retaliates by Attacking Iranian Isfahan Millitary Base View the latest post Replies 28 Views 7632
- by Eli 2 weeks ago Python Packages for Scientific Computing View the latest post Replies 8 Views 14175
-
Laplace Transforms: Convolution Theorem
-
- Information
-
Who is online
Users browsing this forum: No registered users and 0 guests