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

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

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

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

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

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

(dy)/(dx)=1-x+y-xy

(dy)/(dx)=1-x+y-xy

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