Laplace transform

The Laplace Transform is a mathematical technique used to analyze and solve problems, particularly in engineering and physics. It converts a function of time, often describing systems like electrical circuits or mechanical systems, into a function of a complex variable. This transformation simplifies calculations by turning differential equations, which describe how things change over time, into algebraic equations that are easier to manipulate. By using the Laplace Transform, we can better understand system behaviors, predict responses to inputs, and design solutions in a structured way.