Finding Laplace Transforms
In this video, we use rules of integration and the table of Laplace transforms to find some basic Laplace transforms. I also give an example as to how to use trig identities to find Laplace transforms.
Note: For example 3, the function after the trig transformation and multiplying by 4 should be:
2√2 sint+2√2 cost and so the Laplace transform should be:
(2√2)/(s^2+1)+(2√2 s)/(s^2+1)
If you have yet to be introduced to Laplace transforms or are looking for Laplace transforms for piecewise functions. The following links are provided.
00:00 Introduction
00:32 Scalar multiplication and Additon
01:57 Example 1: Scalars
03:02 Example 2 Addition
04:52 Example 3- Trig Subs
Defining the Laplace Transform: • Defining the Laplace Transform
Laplace Transforms for Piecewise functions: • Laplace Transforms of Piecewise Functions