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 differential equation of all parabolas whose axes are parallel to X-axis, is
The differential equation of the family of curves y = a cos (x +b) is
None of these
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
The differential equation of the family of the curves x2 + y2-2 ax = 0 is
x2 - y2 - 2 xyy'' = 0
x2 + y2 + 2 y" = 0
y2 - x2 = 2 x yy"
If y = a sin(5 x+c), then
The differential equation of the family of straight lines whose slope is equal to y - intercept, is
The solution of the differential equation dy/dx = ex+y is
ex + ey = c
ex - ey = c
ex + e-y = c
ex - e-y = c
The order of the differential equation whose solution is y = a cos x + b sin x + ce-x is
1
2
3
4
The order of the differential equation is
