The degree of the differential equation is
0
1
2
3
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
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 x2 + y2-2 ax = 0 is
x2 - y2 - 2 xyy'' = 0
x2 + y2 + 2 y" = 0
y2 - x2 = 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 y2 = 4a (x+a) then differential equation of the family is
y = y' + x
y = y" + x
y = 2y'x + yy'2
y" + y' + y2 = 0