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" 8."(dy)/(dx)=(y^(2)-y+1)/(x^(2)-x+1)...

" 8."(dy)/(dx)=(y^(2)-y+1)/(x^(2)-x+1)

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The family of curves represented by (dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1) and the family represented by (dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0

The family of curves represented by (dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1) and the family represented by (dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0

The family of curves represented by (dy)/(dx)=(x^(2)+x+1)/(y^(2)+y+1) and the family represented by (dy)/(dx)+(y^(2)+y+1)/(x^(2)+x+1)=0

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

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

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

Find the solution of differential equation x^(2)=1 + (x/y)^(-1) (dy)/(dx) + ((x/y)^(-2)((dy)/(dx))^(2))/(2!)+.....