Form the differential equation from the given relation :
`xy = ae^x + be^-x + x^2`

Form the differential equation from the given relation : y^2-2ay+x^2 = a^2

Form the differential equation from the given relation : (x - c)^2 + y^2 = 16

Form the differential equation from the given relation : y = A sin x + B cos x + x sin x

Form the differential equation from the given relation : frac(x^2)(4+K)+frac(y^2)(9+K) = 1

Find the differential equation from the relation ax^(2)+by^(2)=1 where a and b are arbitrary constants.

Find the differential equation from the relation y=ax, where a is an arbitrary constant.

Form the differential equation reprocessing the family of curves y^(2)-2xy+x^(2)=a^(2) where a is an arbitrary constant.