# (tricky) first order ODE

by mmh37
Tags: order, tricky
 P: 59 Does anyone see how one can tackle the following ODE? $$[2y*exp^{y/x} + x}] \frac {dy} {dx} -2x - 2y = 0$$ that is my attempt: rearrange to get $$dy/dx = \frac {2x + 2y} {2y*exp^{y/x}-x}$$ I do not see how to go on from here. Surely, the ODE is not seperabale and I don't find a way to get the integrating factor here. thanks for any hints! [edit:] for a more clearly written version of the ODE see attached file Attached Thumbnails