Finding the Inverse Laplace Transform for Solving Fractional Equations

[heahmad]

Homework Statement

Compute the inverse Laplace transform of

Homework Equations

http://img267.imageshack.us/img267/696/66451772.png

The Attempt at a Solution

I tried using partial fraction but no luck.

 

[I like Serena]

Welcome to PF, heahmad!

Partial fraction decomposition should work.
How did you try it?

 

[vela]

Those transforms are already in the form you'd get from a partial fraction expansion so trying to expand them again should simply result in what you started with. Now it's just a matter of inverting each term using the table. Where are you getting stuck?

 

[heahmad]

if i use Partial fraction decomposition, all fraction become zero!

 

[I like Serena]

vela is right.
Partial fraction decomposition does not work here.
You need a Laplace transform table.

But the fractions do not become zero.
How did you find zero?