Laplace Transform: Example 1

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)

Finally, we have

[Differential Equations] [First Order D.E.] [Geometry] [Algebra] [Trigonometry ] [Calculus] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Copyright © 1999-2004 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA