Form the differential equation corresponding to the curve `y=mx`

By eliminating 'a' and 'b' from the equation of circle with center (a,b) and radius r. form the differential equation corresponding to the family.

Form the differential equation corresponding to y=a x^2+b x+c

Form the differential equation corresponding to y^2=a(b-x)(b+x) by eliminating a and b.

Form the differential equation representing the family of curve given by (x-a)^2+2y^2=a^2 ,a is a arbitrary constants.

Form the differential equation representing the family of curves given by (x - a)^2 + 2y^2 = a^2 , where a is an arbitrary constant.

From the differential equation representing the family of curves y=asin(x+b) ,where a and b are arbitrary constants.

Form a differential equation representing the given family of curves y=Ae^(2x)+Be^(-2x)

The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of