Laplace Transform
Overview
Definition
{% f(s) = \int_0^{\infty} F(t)e^{-st}dt %}
Properties
Linearity
{% L[aF_1(t) + bF_2(t)] = aL[F_1(t)] + bL[F_2(t)] %}
Shift
{% L[e^{-bt}F(t)] = f(s+b) %}