My book has a problem that requires you to separate variables (one side has all the y terms and one side has all of the x terms):(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sin{xy'}=\cosx[/tex]

Equation after separation of variables:

[tex]dy=\cot{x}dx[/tex]

My question is, how do you know that the y' is contained within the sine function or out of it? Are the derivatives always written after and outside of the preceding function?

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# Homework Help: Notation for separation of variables

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