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

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

Solve the following differential equations. (dy)/(dx )=(1+y^2)/(1+x^2) if y=1 for x=0

Solve the initial value problem: y-x(dy)/(dx)=2(1+x^2(dy)/(dx)),\ y(1)=1

The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is given by

The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is given by

Solve the following initial value problem: x y(dy)/(dx)=(x+2)(y+2),\ y(1)=-1

Solve the following differential equations (dy)/(dx)*xy^(2)(1+x^(2))+(1+y^(3))=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 solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s

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