**Example 1:** Solve using Laplace Transform

**Answer:** First, apply the Laplace Transform

Knowing that

,

and

we get

After easy algebraic manipulations we get

,

which implies

Next, we need to use the inverse Laplace.

- We have (see the table)
- For the second term we need to perform
the partial decomposition technique first.
.

We get

Hence, we have

Since (see the table)

and (see the table)

**
**

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour