Show that dy/dx=(x^2+xy+y^2)/x^2 is homogeneous. I did x^2 dy-(x^2+xy+y^2)dx=0 but what's the next step?

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Well voila u just showed that its homogenous

Do you have to solve this

(x^2+xy+y^2)/x^2
1 + y/x + (y/x)^2
you might try a vx=y substition

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