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

Establish the differential equation of SHM.

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

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

What can you say about the motion of an object whose distance time graph is a straight line parallel to the time axis?

Find the equation of the straight line which is parallel to 2x-y+3=0 and passes through the point (2,9).

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.