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Solve the differential equation by separation of variables

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Solve the differential equation
(e^y + 1)^2 e^-y dx + (e^x + 1)^3 e^-x dy = 0

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Separation of Variables #2
The problem is:
(e^y + 1)^2 e^-y dx + (e^x + 1)^3 e^-x dy = 0

I got to the point where I have:

even this first step is not so on the right track.
(e^y + ...

Solution Summary

The solution shows how to solve the differential equation by separation of variables in detail.

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