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 :

Form the differential equation of the family of curves y=A cos2x+B sin2x, where A and B are constants.

Find the differential equation of the family of curves y=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

The differential equation for the family of curves x^2+y^2-2ay=0 , where a is an arbitrary constant is (A) (x^2-y^2)y\'=2xy (B) 2(x^2+y^2)y\'=xy (C) 2(x^2-y^2)y\'=xy (D) (x^2+y^2)y\'=2xy

From the differential equation for the family of the curves y^(2)=a(b^(2)-x^(2)), where a and b are arbitrary constants.

The equation of family of a curve is y^(2)=4a(x+a), then differential equation of the family is

differentiation OF term F(xy) +Y.y(x.y)

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

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

Write order of the differential equation of the family of following curves (x^2)/(a^2)-(y^2)/(b^2)=0