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
The differential equation of all parabolas whose axes are parallel to X-axis, is
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 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 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 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 curves y = a cos (x +b) is
None of these
Solution of the differential equation x dy - y dx = 0 represents a
parabola
circle
hyperbola
straight line
