The Laplace Transform

The Laplace Transform is a mathematical technique used to convert complex functions, often involving time, into a simpler form in the frequency domain. It helps analyze systems like electrical circuits, mechanical systems, or control processes by transforming differential equations into algebraic equations. This makes solving problems easier because algebra is more straightforward than calculus. Once solved in the transformed space, an inverse Laplace Transform is used to return to the original time domain. Essentially, it simplifies the process of understanding how systems respond over time by working in a domain where operations are more manageable.