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 order of the differential equation of all parabolas , whose latus rectum is 4a and axis parallel to the x- axis is

The order of the differential equation of all parabolas, whose latus rectu, is 4a and axis parallel to the X-axis, is

Correct statement is/are (A) The differential equation of all conics whose axes coincide with the axes of co-ordinates is of order 2 (B) The differential equation of all staright lines which are at fixed distance p from origin is of degree 2. (C) The differential equation of all parabola each which has a latus rectum 4a & whose axes are parallel to y-axis is of order 2. D) The differential equation of all parabolas of given vertex, is of order 3.

The order and degree of the differential equation of all the parabolas which have a fixed length of latus and their axes are parallel to the x - axis, are respectively

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

Order and degree of Differential Equation

The differential equation representing the family of curves y^2=2c(x+sqrt(c)) where c gt 0 is a parameter, is of order and degree as follows: (A) order 1, degree 3 (B) order 2, degree 2 (C) order 1, degree 2 (D) order 1, degree 1

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)) ,where c>0 ,is a parameter,is of order and degree as follows: (A) order 1 ,degree 2 (B) order 1 ,degree 1 (C) order 1 ,degree 3 (D) order 2 ,degree 2

When a and b are eliminated from the equation xy=ae^(x)+be^(-x) ,the resulting differential equation is of (a) first order and first degree (b) first order and second degree (c) second order and first degree (d) second order and second degree

The order and degree of the differential equation of the family of parabolas having vertex at origin and axis along positive x-axis is