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

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.

The curve for which the slope of the tangent at any point is equal to the ration of the abcissa to the ordinate of the point is

The differential equation of the family of curves, y^2 = 4a ( x + b) , a b in R , has order and degree respectively equal to :

The differential equation of the family of curves, y^2 = 4a(x+b)(x+b),a,b,in R , has order and degree respectively equal to :

Form the differential equation of the family of curves y=asin(b x+c),\ a\ a n d\ c being parameters.

The equation of the curve for which the slope of the tangent at any point is given by (x+y+1)((dy)/(dx))=1 is (where, c is an arbitrary constant)

The differential equation whose solution is A x^2+B y^2=1 , where A and B are arbitrary constants, is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

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

An elementary reaction A and B is second order reaction. Which of the following rate equation must be correct?