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

What is the differential equation of the family of straight lines parallel to chi -axis?

Find the differential equation of all straight lines y = mx

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

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

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

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.