The differential equation of the family of curves `y=A(x+B)^2` after eliminating `A` and `B` is (A) `yy\'\'=y\'^2` (B) `2yy\'\'=y\'-y` (C) `2yy\'\'=y\'+y` (D) `2yy\'\'=y\'^2`

The differential equation of the family of curves, x^(2)=4b(y+b),b in R, is :

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

Form the differential equation corresponding to (x-a)^2+(y-b)^2=r^2 by eliminating a and b.

Form the differential equation corresponding to y^2-2a y+x^2=a^2 by eliminating adot

Form the differential equation of the family curves having equation y=(sin^(-1)x)^(2)+Acos^(-1)x+B .

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

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. y^2=a(b^2-x^2)

The differential equation which represents the family of curves y""=""c_1e^(c_2x) , where c_1"and"c_2 are arbitrary constants, is (1) y '=""y^2 (2) y ' '=""y ' y (3) y y ' '=""y ' (4) y y ' '=""(y ')^2

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b. y=e^(2x)(a+b x)