(dy)/(dx)+(1+x^(2))/(x)=0

Express the following differential equation in the form f(x)dx+g(y)dy=0 . (dy)/(dx)=(1+y^(2))/(1+x^(2))

Solve x(dy)/(dx)-ay=x^(2)+(1)/(x^(2)),x>0,a!=2,-1

solve: x(dy)/(dx)-ay=x^(2)+(1)/(x),x>0,a!=2,-1

The solution the differential equation ((dy)/(dx))^(2)-((dy)/(dx))(e^(x)+e^(-x))+1=0 is

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

Equation of the curve passing through (3,9) which satisfies the differential equation (dy)/(dx)-x+(1)/(x^(2)) =0 is 6xy=3x^(3)+kx-6 ,then value of k is equal to

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