[" 1.(i) "(1+x)ydx+(1-y)xdy=0],[" (ii) "(1-x^(2))(1-y)dx=xy(1+y)dy]

(1+xy)ydx+(1-xy)xdy=0

(1 + xy) ydx + (1-xy)xdy = 0

(1-x^2)(1-y)dx=x y(1+y)dy y 4. (1 - x?) (1 - y) dx = xy (1 + y) dy

Solve: y(1+xy)dx-xdy=0

Solve: y(1+xy)dx-xdy=0

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

(1+x)(1-y)(dy)/(dx)+xy=0

Solve: (1-x^2y^2)dx=ydx+xdy

Solve: (1-x^2y^2)dx=ydx+xdy

Find the general solutions of the following differential equations. (i) (xy^(2) +x)dx+(yx^(2)+y)dy = 0 (ii) (dy)/(dx) = (y^(2)+2y)/(x-1) (iii) (e^(x) +1)ydx + (y+1)dx = 0