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What is the inverse Laplace transform of $e^{svx}+ e^{-svx}$, where v is a parameter?

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    $\begingroup$ It seems ambiguous. In general one have a function of $t$, $f(t)$, which is transformed to a function of $s$, $F(s)$. Here there are both $s$ and $t$. What are $s$ and $t$? $\endgroup$ Commented Jan 8, 2021 at 14:29
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    $\begingroup$ Sorry, I forgot to specify: I was solving a PDE involving two variables, (x, t) and applied the Laplace transform with respect to x $\endgroup$ Commented Jan 8, 2021 at 15:11
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    $\begingroup$ I changed the variable so it shouldn't appear ambiguous anymore $\endgroup$ Commented Jan 8, 2021 at 15:13
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    $\begingroup$ CAS says: $\delta (t-v x)+\delta (t+v x)$ $\endgroup$ Commented Jan 8, 2021 at 16:06
  • $\begingroup$ Is that Dirac's delta function? How did you do it? $\endgroup$ Commented Jan 8, 2021 at 20:05

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