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

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

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

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

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

The solution of the differential equation 2x^(2)y(dy)/(dx)=tan(x^(2)y^(2))-2xy^(2), given y(1)=(pi)/(2), is

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

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

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is

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