1. ## partial fractions problem

Hi all, I'm wrapping up my homework and I'm coming down to the final impasses. I have a (hopefully) quick partial fractions question. Take the following:

$\frac{s^3+5s}{(s^2+4)(s^2+\omega^2)} = \frac{As+B}{s^2+4} + \frac{Cs+D}{s^2+\omega^2}
$

and $\omega \neq 4$

I know how to solve the partial fractions part of this problem, but how does the omega not being able to equal 4 effect this problem? What should I do with it?

All the best,
Andy

2. You've two factors in your denominator. It seems the point of the NE 4 would be to etablish that the quadratic factors are not the same factors. This does beg the question, did it mean NE 2 or maybe the constant in the first factor should have been 4^2?