Form the differential equation of the family of hyperbolas
` b^(2) x^(2) - a^(2) y^(2) = a^(2) b^(2)` by eliminating constants a and b .

Similar Questions

Explore conceptually related problems

Form the differential equation of the family of curve y^(2)=a(b^(2)-x^(2)) .

From the differential equation of the family of ellipses (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 by eliminating arbitrary constants a and b.

Form the differential equation for the given solution: b^(2) x^(2) + a^(2) y^(2) =a^(2)b^(2)

Form a differential equation representing the family of curves y^(2) = a ( b^(2) - x^(2) ) by eliminating a and b .

Form the differential equation representing the family of curves given by (x - a)^(2) + 2y^(2) = a^(2) , where a is an arbitrary constant.

From a differential equation representing the family of curves y=ae^(3x)+be^(2x) by eliminating arbitrary constants a and b .

Find the differential equation of the family of circles (x-a)^(2)+(y-b)^(2)=r^(2) , where 'a' and 'b' are arbitrary constants.

Form the differential equation representing the family of curves given by (x-a)^(2)+2y^(2)=a^(2), where a is an arbitrary constant.