### Lecture 16 - Laplace Transforms

Laplace Transforms allow differential equations to be converted to algebraic relationships. These algebraic relationships can be rearranged and solved for the dependent variable. Once they are rearranged, an inverse Laplace Transforms gives the solution in the time-domain.

There are a number of proficiencies that are required to transform to and from the Laplace domain. Some of these include integration and partial fraction expansion. These are topics that were covered in prerequisite math courses so much of the material should be review. The new application will be applying these techniques to physical systems for solving process control problems.

#### Solve ODE in MATLAB in Time and LaPlace Domain