The equation of family of curve is y2 = 4a (x+a) then differential equation of the family is
y = y' + x
y = y" + x
y = 2y'x + yy'2
y" + y' + y2 = 0
The order of the differential equation whose solution is y = a cos x + b sin x + ce-x is
1
2
3
4
y = 2 e2 x - e-x is a solution of the differential equation
y2 + y1 + 2 y = 0
y2 - y1 + 2 y = 0
y2 + y1 = 0
y2 - y1 - 2 y = 0
If y = a sin(5 x+c), then
The differential equation of the family of curves y = a cos (x +b) is
None of these
The order of the differential equation is
The differential equation of the family of straight lines whose slope is equal to y - intercept, is
The differential equation of system of concentric circles with center (1,2) is
(x-2) + (y-1) dy/dx = 0
(x+1) dy/dx + (y-2) = 0
(x + 2) dy/dx
(x-1) + (y - 2) dy/dx = 0
The differential equation of all non- horizontal lines in a plane is
The differential equation of all parabolas whose axes are parallel to X-axis, is
