The differential equation y dy/dx + x = c represents
a family of hyperbolas
a family of circles whose centres are on the y- axis
a family of parabolas
a family of circles whose centres are on the x- axis
If x = A cos 4 t + B sin 4 t, the 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 = 2 y'x + yy' 2
y " + y ' + y2 = 0
y = 2 e2 x - e-x is a solution of the differential equation
y2 + y1 + 2 y = 0
y2 - y1 + 2 y = 0
y2 + y1 = 0
y2 - y1 - 2 y = 0
The order of the differential equation is
3
2
1
The differential equation of the family of straight lines whose slope is equal to y - intercept, is
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 degree of the differential equation is
0
The differential equation of the family of curves y = a cos (x +b) is
None of these
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