# Partial Fraction Decomposition

• May 1st 2010, 01:30 PM
brian311
Partial Fraction Decomposition
Hi everyone,

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

$\displaystyle s/((s^2+alpha^2)(s^2+omega^2))$

where alpha and omega are constants

Thanks!
• May 1st 2010, 02:20 PM
TKHunny
Are they Real constants?

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

It's a little messy, but why were you struggling with it? It's pretty much standard treatment with non-factorable quadratic denominators.
• May 1st 2010, 02:23 PM
brian311
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,
• May 1st 2010, 02:25 PM
TKHunny
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.