If x = A cos 4 t + B sin 4 t, the is equal to
-16 x
16 x
x
-x
The differential equation of all parabolas whose axes are parallel to X-axis, is
The order of the differential equation whose solution is y = a cos x + b sin x + c e-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
If y = a sin(5 x+c), then
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 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
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 order of the differential equation is
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 = 2 y'x + yy' 2
y " + y ' + y2 = 0
