What is the most practical way to find the inverse Laplace transform?

[tandoorichicken]

How can I find the inverse Laplace transform of the following function?

Y(s) = \frac{1}{s^2 + \frac{1}{s}}

 

[Hyperreality]

tandoorichicken, the best way I have learn to solve inverse Laplace transform is look up on the table (no one is expect to know all the transfroms)

 

[OlderDan]

How can I find the inverse Laplace transform of the following function?

Y(s) = \frac{1}{s^2 + \frac{1}{s}}

How about

Y(s) = \frac{s}{s^3 + 1}

and look-up here

http://www.efunda.com/math/laplace_transform/inverse.cfm?FuncName=s3a3p1

 

[HackaB]

Yes, the most practical way to invert laplace transforms is to look them up in a table. If you are interested in a more direct way, you can use the general formula for the inverse laplace transform. But since all the important transforms are in a table, you rarely have to use this.