How do you separate the variables in this equation dy/dx= y/x + x/y ?

How do you separate the variables in this equation dy/dx= y/x + x/y ?
What did they teach you about introducing a new variable, in order to facilitate the separation? (For instance, here.) ;)
 
What did they teach you about introducing a new variable, in order to facilitate the separation? (For instance, here.) ;)

Ahhh now I understand. It's just we never did an example with u substitution in class so I was kinda mind boggled when I came across this type of separation of variables. Thanks for the help :D
 
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