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

Solve: (dy)/(dx)=(1-x+x^(2))/(1-y-y^(2))

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)+(3x^(2))/(1+x^(3))y=(sin^(2)x)/(1+x^(3))

Integrating Factors (IF) of the differential equation (dy)/(dx)-(3x^(2))/(1+x^(3))(y)=(sin^(2)(x))/(1+x) is

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))

Solve the following differential equations : (dy)/(dx)-(2x)/(1+x^(2))y=x^(2)+2 .

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

Find (dy)/(dx) ,if y=(x^(2)+1)(x^(2)-1)

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^(2)+2y^(2)+(y^(4))/(x^(2))