I'll post the entire problem. My math class and I couldn't figure it out. My teacher had a helluva hard time trying to explain it to us. I just want to see if anyone can understand this problem and explain it better to me. I still don't understand it
Here it goes:
"Consider the differential equation dy/dx=(1+y)/x, where x does not equal 0.
(a) On the axis provided, sketch a slope field for the given differential equation at the eight points indicated. (you can just skip this one and get to the hard question)
(b) Find the particular solution y=f(x) to the differential equation with the initial condition f(-1)=1 and state its domain."
So the last part of part b is the problem I am really asking for you to solve, although the first part of (b) as well as (a) will help.