Source: wikibot/list-of-laplace-transforms
= List of Laplace transforms
{wiki=List_of_Laplace_transforms}
The Laplace transform is a powerful integral transform used in various fields, especially in engineering and differential equations. It transforms a function of time (usually denoted as \\( f(t) \\)) into a function of a complex variable \\( s \\). Here is a list of some common Laplace transforms: 1. **Unit Step Function**: \\\[ \\mathcal\{L\}\\\{u(t)\\\} = \\frac\{1\}\{s\} \\\] 2.