cuz i need help.

im doing a test which is due monday and im looking at a couple of things which have never been presented in class. i asked my fiance who took this class last semester and passed with a B as well as tried the internet for help, and looked it up in two copies of the book we have. all of these resources just gloss over the issue that im having. they all seem to assume prior knowledge.

how do i do the following:

X'(*)/X(*) = -4(*+2)/((*+2)^2+9)

obviously the right-hand side is "LaPlace-able" utilizing cosine shifted by -2, but how do i do the left-hand side? the resources seem to indicate that i use natural log somehow, but gloss over the steps.

any help would be greatly appreciated.

The answer is 6.5

thank you will. as always, your insight is borderline genius in its ability to penetrate to the core of the issue.

would it make sense if i were to Laplace the right-hand side and then just divide the result by t? giving something like: (-4(e^-2t)cos3t)/t

the solutions manual doesnt give that answer at all.

bump

sorry, im off to work. can anyone help me out? im gone until midnight at work, and its due tomorrow.

crossing my fingers, but thanks either way.