`(1+xy)dx=x/ydy`

Solve (i) xdx +ydy + (xdy - ydx)/(x^(2) + y^(2)) = 0 (ii) y(1+xy) dx - xdy = 0

Solve (dy)/(dx)=xy+y+x+1

Solve (dy)/(dx)=xy+x+y+1

find the solution of DE (dy)/(dx)=xy+x+y+1

(dy)/(dx)=x+xy

Solve : (dy)/(dx)=x+xy

The equation of the curve satisfying the differential equation xe^(x)sin ydy-(x+1)e^(x) cos ydx=ydy and passing through the origin is

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

(a) Solve :(i) (dy)/(dx)=1+x+y+xy (ii) xyy'=1+x+y+xy .