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
If x = A cos 4 t + B sin 4 t, then is equal to
-16 x
16 x
x
-x
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 order of the differential equation whose solution is y = a cos x + b sin x + ce-x is
1
2
3
4
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 order of the differential equation is
Solution of the differential equation x dy - y dx = 0 represents a
parabola
circle
hyperbola
straight line
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 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
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
