# Math Help - laplace commands in latex

1. ## laplace commands in latex

i wanted to know what the command is for laplace inverse? how do i make the symbol? thanks

2. Originally Posted by slapmaxwell1
i wanted to know what the command is for laplace inverse? how do i make the symbol? thanks
We usually use \mathcal{L} (rendered $\mathcal{L}$) to denote the Laplace Transform. Similarly, \mathcal{L}^{-1} (rendered $\mathcal{L}^{-1}$) is used to denote the Inverse Laplace transform.

So for example,

$\mathcal{L}\{e^{at}\} = \dfrac{1}{s-a}$

and

$\mathcal{L}^{-1}\left\{\dfrac{1}{s-a}\right\} = e^{at}$

I hope this helps!

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P.S.: Since LaTeX on MHF isn't working properly, we've come up with an alternative way to have the images rendered. So see this to find out more.

3. \mathcal{L} gives the squiggly L.

So \mathcal{L}^{-1} gives the "inverse" squiggly L.
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