Laplace Transforms Explained from Scratch | Part 1 скачать в хорошем качестве

Laplace Transforms Explained from Scratch | Part 1

This video begins a full course on Laplace Transforms, one of the most powerful tools in mathematics, engineering, physics, econometrics, and differential equations. In this first lesson, we introduce the definition of the Laplace Transform: Laplace of f(t) = integral from 0 to infinity of e^(-st)f(t) dt, and use it to compute the transforms of fundamental functions, including: L(1), L(e^(a)), and L(t^n) This course is designed to help students build a deep understanding of Laplace transforms from first principles to advanced applications. This is Part 1 of a complete Laplace Transform series. Subscribe to Calculus Diaries to follow the full course.