Let `x(1-x)\ dy/dx = x-y`

If y = x/(x+a) ,show that x dy/dx = y (1- y)

If y= (x)/( x+a) , prove that x (dy)/( dx) = y(1-y) .

y=x^(1/x) find dy/dx

If y = (1+ 1/x)^(x) , then dy/dx =

(v) Let y= sqrt{(1+x)/(1-x)} find dy/dx

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

(x (dy) / (dx) -y) tan ^ (- 1) ((y) / (x)) = x