Math

Laplace Transform

Quick demonstration of how Laplace Transform works

  • #differential
  • #algebraic
  • #math

Laplace Transform is a versatile tool that is widely used on different realm of professions. It is used to convert a differential equation into algebraic equation that is easier to solve.

The is the output function after the transformation is applied.

The formula to perform the transformation are as follows.

Examples

  1. Find the Laplace Transform for .

This is an exponential function.

For :

For , the value diverges.

References