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 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 curve for which the length of the normal is equal to the length of the radius vector is/are (a) circles (b) rectangular hyperbola (c) ellipses (d) straight lines

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

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

The differential equation representing the family of curves y^2=2c(x+sqrt(c)), where c is a positive parameter, is of (A) order 1 (B) order 2 (C) degree 3 (D) degree 4

A reaction is of second order in A and first order in B. Write the differential rate equation.

The order and degree of the differential equation of all tangent lines to the parabola y=x^2 is (a) 1,2 (b) 2,3 (c) 2,1 (d) 1,1

Which of the following is a second order differential equation ?

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is -1 (b) 1 (c) 0 (d) none of these