## Posts Tagged ‘**Bessel**’

## Tricks for inverting a Laplace Transform, part III

*This is a continuation of the series of articles on Laplace transforms… You can also have a look at part I (guesses based on series expansions), part II (products and convolutions), part IV (substitutions), and part V (pole decomposition).*

This time we will cover the followingÂ inverse Laplace problems:

The basic result that can be used for such problems is the Laplace transform of the Bessel function:

Now, using

,

and by rescaling , one finds that is solved by:

Have fun!

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