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

Write the order of the differential equation representing the family of curve given by y=a sin(x+b) , where a and b arbitrary constants.

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

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

Find the differential equation of all parabolas : y^2 = 4ax

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

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

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