Example 12.28.  Let  .  Find  .

Explore Solution 12.28.

Enter Y[s] and use the Heaviside Expansion Theorem to find y[t].

Q[s] has simple zeros at the points  .  Construct the three terms  .

Use the Heaviside Expansion Theorem to construct y[t].

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

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