अवकल समीकरण `(dy)/(dx)=(1+x^2)/(1+y^2)` को हल कीजिए |

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

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

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

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

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

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

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

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

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