Find the differential equation of the family of lines passing through the origin.
Consider the equation, y = mx, where m is the parameter.
Thus, the above equation represents the family of lines which pass through the origin.
Differentiating the above equation (1) with respect to x,
`y = mx`
`=>dy/dx=y/x` [because from equation 2]
Thus we have eliminated the constant, m.
The required differential equation is