Find the differential equation representing one parametr family of the curves `(x^2 -y^2) = c (x^2 + y^2)`.

Show that the differential equation representing one parameter family of curves (x^2-y^2)=c(x^2+y^2)^2i s\ (x^3-3x y^2)dx=(y^3-3x^2y)dy

Show that the differential equation representing one parameter family of curves (x^(2)-y^(2))=c(x^(2)+y^(2))^(2)is(x^(3)-3xy^(2))dx=(y^(3)-3x^(2)y)dy

Form a differential equation representing the given family of curves y=Ae^(2x)+Be^(-2x)

The degree of the differential equation representing the family of curves (x-a)^(2)+y^(2)=16 is :

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

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

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

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