The differential equation of the curve such that the ordinates of any point is equal to corresponding subnormal at that point is

The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal (a) is linear (b) is homogeneous of second degree (c) has separable variables (d) is of second order

The differential equation corresponding to curve y^(2)=4ax is :

The differential equation corresponding to curve y=a cos(x+b) is :

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

The equation of the curve whose subnormal is constant is

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

A curve is such that the area of the region bounded by the co-ordinate axes, the curve & the coordinate of any point on it is equal to the cube of that ordinate. The curve represents

The differential equation corresponding to the family of curves y=e^x (ax+ b) is

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.