This is the bread and butter of differential equations problems. This particular quiz section will be worth at least 6 of the 108 points on the AP Test. The name of the section gives away the first step of any of these problems. The goal is to figure out a way to get the x and y variables to different sides of the equation. Once that is done, you can integrate and solve for whatever the problem asks you to solve for.
Want to see an AP Free Response example? https://www.khanacademy.org/math/integral-calculus/ap_calc_topic/ab_examples/v/2011-calculus-ab-free-response-5a
See more examples here: http://17calculus.com/differential-equations/separation-of-variables/