Does anyone see how one can tackle the following ODE?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] [2y*exp^{y/x} + x}] \frac {dy} {dx} -2x - 2y = 0 [/tex]

that is my attempt:

rearrange to get

[tex] dy/dx = \frac {2x + 2y} {2y*exp^{y/x}-x} [/tex]

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

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# (tricky) first order ODE

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