Find dy/dx
`x^(1/2) y^(-1/2) + x^(3/2) y^(-3/2) = 0`

Find dy/dx x^2 + 3y^2 = 5

Find dy/dx if y^2 = x^y

Find dy/dx xy^2 + x^2y + 1 = 0

Find (dy)/(dx) if x^(3)+x^(2)y+xy^(2)+y^(3)=81

Find dy/dx y = cos^(-1)(1-1/x-1/x^(2))^(1/2)

Find the particular solution of the following differential equation : (dy)/(dx) + (1 + y^2)/(1 + x^2) = 0, y(-1) = -sqrt 3

Find dy/dx if (x/a)^(2/3) + (y/b)^(2/3) = 1

Find (dy)/(dx) if y = logtan^(-1)x+e^(2x) .

Find dy/dx if y^2 + x^2 = In (x+y) +1