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8. Find the inverse Laplace transform, $f(t)$, of $F(s) = \ln\left(\frac{s+a}{s-a}\right) = \ln(s+a) - \ln(s-a)$ Recall that $\mathcal{L}\{\delta(t)\} = 1$. If we would like to account for the potential presence of constant of integration $C$ in $F(s)$ in the calculation above, we would be adding the term $\mathcal{L}^{-1}\{C\} = C\mathcal{L}^{-1}\{1\} = C\delta(t)$ to each of our answers.

          8. Find the inverse Laplace transform, $f(t)$, of
$F(s) = \ln\left(\frac{s+a}{s-a}\right) = \ln(s+a) - \ln(s-a)$
Recall that $\mathcal{L}\{\delta(t)\} = 1$. If we would like to account for the potential presence of
constant of integration $C$ in $F(s)$ in the calculation above, we would be adding the term
$\mathcal{L}^{-1}\{C\} = C\mathcal{L}^{-1}\{1\} = C\delta(t)$ to each of our answers.

$8. Find the inverse Laplace transform, f(t), of F(s) = ln((s+a)/(s-a)) = ln(s+a) - ln(s-a) Recall that ℒ{δ(t)} = 1. If we would like to account for the potential presence of constant of integration C in F(s) in the calculation above, we would be adding the term ℒ^-1{C} = Cℒ^-1{1} = Cδ(t) to each of our answers.$

Added by Rebecca J.

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