How Does Partial Fraction Decomposition Apply to Laplace Transforms?

[reece]

Basically I don't know how F(s) can be split up to below.

F(s) = \frac{1}{s^{2}(s-2)}

= \frac{1}{4} ( - \frac{1}{s} - 2 \frac{1}{s^{2}} + \frac{1}{s-2} )

I thought it would be 1/s^2 - 1 / s-2

How does this work? Please explain.
thanks

 

[rezwan]

hey

try using partial fraction:

1/s^2(s-2)=A/s+B/s^2+C/(s-2)
then multiply both side of the identity by s^2(s-2)
then group the terms: s^2,s and constants(terms without s)
finally equate both sides of the identity. and then calculate A,B C
and then put in the term A/s+B/s^2+C/(s-2)
then you will find the expected form.

thanks

rezwan