Solve the following differential equation: `cosx(1+cosy)dx-siny(1+sinx)dy=0`

Find the general solution of each of the following differential equations: cosx(1+cosy)dx -siny (1+sinx)dy =0

Solve the following differential equation: dy+(x+1)(y+1)dx=0

Solve the following differential equations (dy)/(dx)=sinx*siny

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

Solve the following differential equation: (x-1)(dy)/(dx)=2xy

Solve the following differential equation: x(dy)/(dx)+cot y=0

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

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

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

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