Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.

The differential equations of all circles touching the x-axis at origin is

Form the differential equation of the family of circles touching the x-axis at origin.

Form the differential equation of the family of circles touching the y-axis at origin.

Find the differential equation of all circles touching the x-axis at the origin y-axis is the origin

Find the sum of order and degree of differential equation of all the conics touching the y-axis at origin and having centre on the x- axis

The differential equation of the system of circles touching the y-axis at the origin is

The order of the differential equation of the family of circles touching the y - axis at the origin is k, then the maximum value of y=k cos x AA x in R is