Example 12.30.  Use the convolution theorem to solve the integral equation  .  

                                              A graph of the solution.

Explore Solution 12.30.

Use the facts that  .  
Set up the integral equation and Laplace transform each term.

Use known Laplace transforms to find the solution.

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

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