Problem asks what 'A' and 'a' represent,(which I think represent air resistance and acceleration), and also asks if this equation accurately describes the descent of a falling object taking air resistance into account.
The question can be found here:
http ://edisk. fandm. edu/annalisa.crannell/writing_in_math/projects/ Grapefruit. html
(have to get rid of the spacings)
The Attempt at a Solution
Tried starting from the beginning using integrating factors like e^(at-1) or just (at-1), but I don't understand how you can end up with an answer that has an e^(x)/e^(x). The book would have me get the equation in the form y'+xy=C and use x as the integrating factor, but what x could I use to get the above equation? Any help would be much appreciated.