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Laplace splitting fraction

  1. Jan 9, 2008 #1
    Basically I don't know how F(s) can be split up to below.

    F(s) = [tex]\frac{1}{s^{2}(s-2)}[/tex]

    = [tex]\frac{1}{4}[/tex] ( - [tex]\frac{1}{s}[/tex] - 2 [tex]\frac{1}{s^{2}} + \frac{1}{s-2}[/tex] )

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

    How does this work? Please explain.
    thanks
     
  2. jcsd
  3. Jan 9, 2008 #2
    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
     
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