(adsbygoogle = window.adsbygoogle || []).push({}); Why can you Take out An E^xy??

1. The problem statement, all variables and given/known data

Im learning about implicit solutions for differential equations. Anyways I took the derivative of a relation containing x and y to get

dy/dy=1-e^xy(y)/ e^xy(x)+1

2. Relevant equations

Anywhoo it turns out to be a solution to the diff eq dy/dy = e^-xy - y/ e^-xy + x

3. The attempt at a solution

Apparently you can take out an e^xy from dy/dy=1-e^xy(y)/ e^xy(x)+1 in order to get to

dy/dy = e^-xy - y/ e^-xy + x

How exactly is this so? How does this work....I hope you understand my question

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# Why can you Take out An E^xy?

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