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

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

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

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

On putting (y)/(x)=v the differential equation (dy)/(dx)=(2xy-y^(2))/(2xy-x^(2)) is transferred to

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

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

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