1. The problem statement, all variables and given/known data Draw the direction field for the differential equation y'=1-y/x 2. Relevant equations 3. The attempt at a solution Ok well, drawing the direction field is not an issue because I have a grapher, and I get the basic of how to draw simple direction fields. So to start, I know that whenever y=x, the slope will be zero, so every point on the line y=x has slope zero. I can test points around that to get a general idea of what's happening. Also I know when x approaches zero, the slope approached -/+ infinity depending on the sign of y. So far so good.... But the other asymptote besides x=0 also seems to be a line y=x/2. How do I conclude that analytically from y'=1-y/x ? I'm sure it's something simple.... Thanks.