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4.1.6. Properties of the unilateral Laplace transform¶

These are from the Wikipedia page on the Laplace transform

**Laplace Transform Properties**¶
	Time Domain	$s$ -Domain	Remark
Linearity	$a\,x(t)+b\,y(t)$	$a\,X(s)+b\,Y(s)$
Differentiation	$x'(t)$	$sX(s)$	$x(0)=0$
Integration	$\int_0^t f(u)du$	$\frac{1}{s}X(s)$
Convolution	$x(t)\ast y(t)$	$X(s) Y(s)$