Solve the differential equation `x y(dy)/( dx)=(1+y^2)/(1+x^2)(1+x+x^2)`

Solve the differential equation x(dy)/(dx)=x^2+y

Solve the differential equation x(dy)/(dx)=x^2+y

Solve the differential equation xy(dy)/(dx)=x^(2)-y^(2).

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

Solve the differential equation, (dy)/(dx)=xy+x+y+1

Solve the differential equations. (dy)/(dx)=(e^(x)+1)y

Solve the differential equations : (dy)/(dx)=tan^(2)(x+y)

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

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

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