I am attaching the question along with my latest attempt at the time of this writing.

Any help in spotting my mistake(s) would be greatly appreciated!

Thanks in advance!

Edit: Wolfram Alpha says the answer is: http://www.wolframalpha.com/input/?i=y'+-+4/x+y+%3D+y^3/x^5;+y(1)+%3D+1 but I want to know what I did wrong in my work while attempting to get there.