Laplace Transform of a Piecewise Function Using the Definition

In this video we compute the Laplace Transform of a piecewise function using the definition of the Laplace Transform.

Functions like this are often the forcing function of differential equations, especially in circuits. Taking these Laplace Transforms will be essential to solving differential equations involving these types of forcing functions.

Here we use the definition, but more commonly we use translation theorems.

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My name is Jonathan, and I absolutely enjoy differential equations. I hope this video helps make the details of computation concerning Laplace Transforms of piecewise functions clear.

Thanks for watching!