# Laplace transform involving the unit step function, cosine, and an exponential

LaTeX Code:

e^{ - at} \cos (\Omega t)u(t) \Leftrightarrow \frac{{s + a}}{{(s + a)^2 + \Omega ^2 }}

MathType 5.0 Code:

% MathType!MTEF!2!1!+-
% feaafaart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbb
% a9q8WqFfeaY-biLkVcLq-JHqpepeea0-as0Fb9pgeaYRXxe9vr0-vr
% IaeuyQdC1aaWbaaSqabeaacaaIYaaaaaaaaaa!515D!

Pasting the above "text" into MathType 5.0 will enter the above equation and make it possible to edit, save, and use in applications such as MS Word.