`(x-y)(dy)/(dx) = x+3y`

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

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

x (dy)/(dx) + y = x ^(3) , given that y = 1 when x = 2

Find the solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = (x/y^3)(cos^(2)(x^(2)+y^(2))) is

(x + y (dy) / (dx)) / (yx (dy) / (dx)) = (x cos ^ (2) (x ^ (2) + y ^ (2))) / (y ^ ( 3))

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

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