Example 12.29.  Show that  .  

Explore Solution 12.29.

Use convolution to find the inverse Laplace transform of  .  

The transform H[s] is the product of  , which are known to be the Laplace transforms of ,  respectively.  Enter H[s].

Use the convolution formula to construct .

Aside. We can use the other convolution formula to construct .

Aside. We can check this with Mathematica's  result using the LaplaceTransform package.

(c) 2006 John H. Mathews, Russell W. Howell