I encountered this problem in last week's GRE subject test, and I could not solve it. So I venture to post it in here. The question is as follows:
y/t+te^{-t}=y'
asking me $\displaystyle \lim_{t\rightarrow \infty} \frac{y}{t}$
I am not sure if my memory is totally correct. If any others take the same exam and found I remembered the problem wrong, please point out in comments.