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

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

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The solution of the differential equation xy(dy)/(dx)=(1+y^(2))(1+x+x^(2))/(1+x^(2))

The solution of the differential equation xy(dy)/(dx)=((1+y^(2))(1+x+x^(2)))/(1+x^(2)) is:

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

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

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

The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2)}/(1+x^2) is:

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

If xy log(x+y)=1, prove that (dy)/(dx)=-(y(x^(2)y+x+y))/(x(xy^(2)+x+y))