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Homework Help: Partical Fractions

  1. Mar 10, 2008 #1
    1. The problem statement, all variables and given/known data

    Turn this into partial fraction.

    2. Relevant equations


    3. The attempt at a solution

    original question was to find the transfer function with springs and a damper and I reduced it to this far but I cant get the partial fraction.
    once i get that partical fractions, i take the inverse laplace transform and get the answer.
    Last edited: Mar 10, 2008
  2. jcsd
  3. Mar 10, 2008 #2
    I'm getting dizzy reading it ...


  4. Mar 10, 2008 #3
    yeap :)
  5. Mar 10, 2008 #4
    well is this impossible to separate?
    i did other problems but i am just stuck on this one.
    let me know if you need the actual problem statement...
  6. Mar 10, 2008 #5


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    you want, of course, to factor the denominator. I think I would be inclined to multiply out that first part and combine coefficients of like powers. It will be, of course, a quadratic. At worst, you could set the denominator equal to 0 and solve the equation by the quadratic formula.
  7. Mar 10, 2008 #6


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    krnhseya, just expand the bottom line into the form [tex]as^2\,+\,bs\,+\,c[/tex], and then factor it using the good ol' (-b ±√b^2 - 4ac)/2a. :smile:
  8. Mar 10, 2008 #7
    well that b1 squared and s squared at the end...it cancells the expansion of the squared part...
  9. Mar 11, 2008 #8


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    No, it doesn't …

    It's [tex]k_1k_2\,+\,(b_1k_2\,+\,b_2k_1)s\,+\,b_1(b_2\,-\,b_1)s^2[/tex]
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