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
The degree of the differential equation is
0
1
2
3
The differential equation of the family of straight lines whose slope is equal to y - intercept, is
The solution of the differential equation dy/dx = ex+y is
ex + ey = c
ex - ey = c
ex + e-y = c
ex - e-y = c
The order of the differential equation is
The differential equation of the family of curves y = a cos (x +b) is
None of these
The order of the differential equation whose solution is y = a cos x + b sin x + ce-x is
4
The differential equation of all parabolas whose axes are parallel to X-axis, is
The differential equation of all non- horizontal lines in a plane is
Solution of the differential equation x dy - y dx = 0 represents a
parabola
circle
hyperbola
straight line