Example 12.12. Find
the inverse Laplace transform
.
Explore Solution 12.12.
Enter the function F[s] and find its partial fraction expansion.
The transform F[s] is a linear combination.
![[Graphics:../Images/LaplaceTransformMod_gr_197.gif]](../Images/LaplaceTransformMod_gr_197.gif)
The inverse of
and the
inverse of
.
Hence
.
Aside. We can check this with Mathematica's result using the LaplaceTransform package.