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 curves y = a cos (x +b) is
None of these
If x2 + y2 = 1, then
yy" - (2 y' )2 + 1 = 0
yy" + (y')2 + 1 = 0
yy" - (y' )2 - 1 = 0
yy" + 2 (y' )2 + 1 = 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"
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 solution of the differential equation dy/dx = ey+x + ey-x is
e-y = ex - e-x + c
e-y = e-x - ex + c
e-y = ex + e-x + c
e-y + ex + e-x + c
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
y = c x - c2, is the general solution of the differential equation
(y')2 - xy' + y = 0
y" = o
y' = c
(y')2 + xy' + y = 0
The order of the differential equation is
3
2
1
The differential equation of all non- horizontal lines in a plane is
