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(tricky) first order ODE 
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#1
Apr1506, 09:04 AM

P: 59

Does anyone see how one can tackle the following ODE?
[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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