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

The equation of the curve whose subnormal is constant is

For the equation of the curve whose subnormal is constant then,

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

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

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

Form the differential equation representing the family of curves y" "=" "m x , where, m is arbitrary constant.

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+b x)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. y=a e^(3x)+b e^(-2x)

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