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 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"
None of these
The differential equation of the family of curves y = a cos (x +b) is
y = cx - c2, is the general solution of the differential equation
(y')2 - xy' + y = 0
y" = o
y' = c
(y')2 + xy' + y = 0
The degree of the differential equation is
0
1
2
3
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 x = A cos 4 t + B sin 4 t, the is equal to
-16 x
16 x
x
-x
The differential equation y dy/dx + x = c represents
a family of hyperbolas
a family of circles whose centres are on the y- axis
a family of parabolas
a family of circles whose centres are on the x- axis
The differential equation of all non- horizontal lines in a plane is
The differential equation of the family of straight lines whose slope is equal to y - intercept, is
