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This problem looks simple, but due my formation (Engineering) and the fact that I've not used EDO for a while, makes this problem hard for me :)

It's a piece of a Control Engineering problem for a paper that I'm writing.

The equation is:

dy = (k + x)*(a/x+b/y)dx

The inital condition for y is a constant 'y0' and for x = 0. I need a analytic so I can prove some some properties of my controller.

I'll really appreciate your help