Find the family of curves for which subnormal is a constant in a parabola.

The equation of the curve whose subnormal is constant is

The differential equation representing the family of curves y=xe^(cx) (c is a constant )is

The differential equation of the family of curves for which the length of the normal is equal to a constant k, is given by

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve for which the length of the normal is constant and the curves passes through the point (1,0).

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.(x)/(a)+(y)/(b)=1

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y=e^(2x)(a+bx)

Find the differential equation representing the family of curves y=a.e^(2x)+5 , where a is an arbitrary constant.

Find the differential equation corresponding to the family of curves y=c(x-c)^2 where c is an arbitrary constant.

Find the family of curves,the subtangent at any point of which is the arithmetic mean of the co-ordinate point of tangency.