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(dy)/(dx)+2xy=x^(3)...

(dy)/(dx)+2xy=x^(3)

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The equation of the curve passing through (2 2) and satisfying the differential equation (dy)/(dx)+2xy=x^(2)(3-(dy)/(dx)) is

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(dy)/(dx)+xy=xy^(3)

(1-x^(2))(dy)/(dx)-2xy=x-x^(3)

(1-x^(2))(dy)/(dx)-2xy=x-x^(3)

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(dy)/(dx)=x^(3)y^(3)-xy

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