Write the differential equation obtained eliminating the arbitrary constant C in the equation `x y=C^2dot`

Write the differential equation obtained eliminating the arbitrary constant C in the equation xy=C^(2) .

Write the differential equation obtained by eliminating the arbitrary constant C in the equation x^2-y^2=C^2dot

Write the differential equation obtained by eliminating the arbitrary constant C in the equation x^(2)-y^(2)=C^(2)

Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves x y=Ccosxdot

Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves xy=C cos x