The differential equation of the family of curves y = a cos (x +b) is

None of these

The degree of the differential equation

3

2

1

Not defined

The equation of family of curve is y^{2} = 4a (x+a) then differential equation of the family is

y = y' + x

y = y" + x

y = 2y'x + yy'^{2}

y" + y' + y^{2} = 0

If y = a sin(5 x+c), then

Solution of the differential equation x dy - y dx = 0 represents a

parabola

circle

hyperbola

straight line

y = 2 e^{2 x} - e^{-x} is a solution of the differential equation

y_{2} + y_{1} + 2 y = 0

y_{2} - y_{1} + 2 y = 0

y_{2} + y_{1} = 0

y_{2} - y_{1} - 2 y = 0

The degree of the differential equation is

0

The differential equation of all parabolas whose axes are parallel to X-axis, is

y = c x - c^{2}, is the general solution of the differential equation

(y')^{2} - xy' + y = 0

y" = o

y' = c

(y')^{2} + xy' + y = 0

If x = A cos 4 t + B sin 4 t, then is equal to

-16 x

16 x

x

-x