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(dy)/(dx)=(2xy)/(xy-y)...

`(dy)/(dx)=(2xy)/(xy-y)`

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(dy)/(dx)=(xy+y)/(xy+x)

(dy)/(dx)=(2xy)/(x^(2)-y^(2))

Solve the following differential equations (dy)/(dx)=(xy+y)/(xy+x)

If xy=tan(xy) , show that (dy)/(dx)=(-y)/(x)

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

dy/dx=(2xy)/(x^2-1-2y)

y^(2)+x^(2)(dy)/(dx)=xy(dy)/(dx)

The solution of the ( dy )/(dx) = (xy+y)/(xy+x) is :

(dy)/(dx)+(xy+y)/(xy+x)=0

(dy)/(dx)=(y^(2)-x)/(xy+y)