The degree of the differential equation is

0

1

2

3

If x^{2} + y^{2} = 1, then

yy" - (2 y' )^{2} + 1 = 0

yy" + (y')^{2} + 1 = 0

yy" - (y' )^{2} - 1 = 0

yy" + 2 (y' )^{2} + 1 = 0

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

parabola

circle

hyperbola

straight line

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

None of these

The differential equation of the family of the curves x^{2} + y^{2}-2 ax = 0 is

x^{2} - y^{2} - 2 xyy'' = 0

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

y^{2} - x^{2} = 2 x yy"

The differential equation of all non- horizontal lines in a plane is

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

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

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

-16 x

16 x

x

-x

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