Laplace Transform - (stinking partial fractions)

[FrogPad]

Ok... I'm working on this laplace transform, and I'm getting stuck on the partial fractions part on this one problem. If someone could help me out with setting it up, I would be very appreciative.

$$\frac{s}{(s^2+4)(s^2+\omega^2 ) }$$

After trying to set it up, I get something like:

$$s=A(s^2+\omega^2)+B(s^2+4)$$

I can't really equate the coefficients with a problem like this. I'm just totally frickn' lost when it comes to this part. My algebra is rather crappy

 

[FrogPad]

LaTeX preview not working

When I was typing out this msg, I could not preview any of the LaTeX... but after submitting the thread it displayed as beautiful as it usually does.
Is anyone else having this problem?

 

[Pyrrhus]

$$\frac{s}{(s^2+4)(s^2+\omega^2 ) } = \frac{As + B}{s^2+4} + \frac{Cs + D}{s^2+ \omega^2}$$

 

[erik-the-red]

I think Cyclovenom's answer is correct. For a quadratic factor like $$s^2 + 4$$, you have to $$As + B$$. If it was a linear factor, $$A$$ would suffice.

 

[FrogPad]

right on. cool.

thanks guys