Laplacetranszformáltjához
Laplace transform is a mathematical tool used to convert a function of time, f(t), into a function of a complex variable, s, typically denoted as F(s). This transformation is particularly useful in solving linear ordinary differential equations and analyzing systems in fields such as electrical engineering, control theory, and signal processing. The Laplace transform is defined by an integral: F(s) = integral from 0 to infinity of e^(-st)f(t) dt, where s is a complex number.
The inverse Laplace transform allows one to convert a function of s back to a function of
Key properties of the Laplace transform include linearity, time-shifting, frequency-shifting, and convolution. These properties enable a