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Math Help - Partial Fraction Decomposition

  1. #1
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    Partial Fraction Decomposition

    Hi everyone,

    Can someone help me with the Partial fraction decomposition of the following:

    s/((s^2+alpha^2)(s^2+omega^2))

    where alpha and omega are constants

    Thanks!
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  2. #2
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    Are they Real constants?

    It looks like \left(\frac{1}{\omega^2 - \alpha^2}\right)\cdot\left(\frac{s}{s^2 + \alpha^2}-\frac{s}{s^2 + \omega^2}\right)

    It's a little messy, but why were you struggling with it? It's pretty much standard treatment with non-factorable quadratic denominators.
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  3. #3
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    Hi,

    Thanks for replying. Yes they are real constants. Do you have a link to an example similar to this. This is my first math class since I took calculus over 10 years ago. I'm looking as to what the "A" "B" etc. are.

    Thanks,
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  4. #4
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    No, sorry. I'm sure there are such links.

    For a non-factorable quadratic denominator, just start with a*s + b in the first numerator and c*s + d in the second. These are just non-constant linear factors.
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