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.

Form the differential equation of the family of curves y=a sin(bx+c), a and c being equation of second order.

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 :

The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

Find the equation of the curve such that the square of the intercept cut off by any tangent from the y-axis is equal to the product of the co-ordinate of the point of tangency.

Which of the following differential equation has the same order and degree?

The differential equation whose solution is Ax^(2)+By^(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