Find the equation to the ellipses, whose centres are the origin,whose axes are the axes of coordinates, and which pass through

Find the equation of the hyperboth whose axes are the axes of coordinates and which passes through the points (5,0) and ( -7,(2)/(5) ).

The differential equation of the family of ellipses having centres at the origin and whose axes are the coordinate axes is

Find the equation of the ellipse whose centre is at the origin and major axis along x-axis and passing through the points (-3,1) and (2, -2) .

Find the differential equation of all ellipse whose centres are at the origin and principal axes along coordinate axes.

Find the equation of the hyperbola, whose axes are axes of coordinates and which passes through the points (1,1) and (2,-3).

Find the equation of the hyperbola, whose axes are axes of coordinates and which passes through the point (2,1) and whose eccentricity is sqrt((3)/(2))

Find the equation to the ellipse with axes as the axes of coordinates. which passes through the points (3, -1) and (2, -2).

Find the equation of the ellipse whose axes are along the coordinate axes, foci at (0,\ +-4) and eccentricity 4/5.