Obtain the differential equation which correspond stobeach of the following family of curves.

1)The rectangular hyperbolas which have the coordinate axes as asymptotes.

2)The ellipse with centres at the origin and having coordinate axes as axes.

3)The parabolas each of which has latus rectum 4a and whose axes are parallel to x-axes.

4)The parabolas having their focii at the origin and axis along the x- axis.