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

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

Find the differential equation of all straight lines y = mx

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

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 : xy = ae^x + be^-x + x^2

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

Find the differential equation, if xy=Ae^(x)+Be^(-x)+x^(2)

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.

Find the differential equation of the family of all circles touching the chi -axis at the origin.