TITLE: Solving a differential equation involving $y$ and its exponential
QUESTION [11 upvotes]: Hi all I have a question Ive been asked to solve. But I have no idea where to begin.
The equation is $y'=\dfrac{y+e^x}{x+e^y}$. 
I think this is homogeneous but I have no idea as to how to manipulate this to get it into the required form.

REPLY [3 votes]: Maple 16 does not find a closed-form solution, or any symmetries.  This strongly suggests that there is no closed-form solution.  Almost certainly there are no closed-form solutions that can be found by elementary techniques.