Solve the following differential equations,`(dy)/(dx)=(1+y^(2))/((1+x^(2))xy)`

Solve the following differential equations (dy)/(dx)=1+x+y+xy

Solve the following differential equations (dy)/(dx)=1+x+y+xy

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

Solve the following differential equation: (dy)/(dx)=1-x+y-xy

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

Solve the following differential equation: (dy)/(dx)+1/xy=y^3

Solve the following differential equations (dy)/(dx)=(xy+y)/(xy+x)

Solve the following differential equations (dy)/(dx)=(xy+y)/(xy+x)

Solve the following differential equations (dy)/(dx)=(y^(2)+2xy)/(2x^(2)) , it is given that at x=1 , y=2 .