The solution of dy/dx = (y/x)1/3 is
x2/3 + y2/3 =C
x1/3 + y1/3 =C
y2/3 - x2/3 =C
y1/3 - x1/3 =C
The order of the differential equation of all conics whose center lie at the origin is given by _____.
2
3
4
None of these
The order of the differential equation of all circles of radius 'a' is
1
The solution of the differential equation 2x dy/dx -y = 3 represents
Straight line
Circles
Parabola
Ellipse
Solution of x2 + y2dy/dx = 4 is
x2 + y2 =12x +C
x2 + y2 = 3x +C
x3+ y3 = 3x + C
x3+ y3 = 12x +C
The general solution of excosydx - ex sinydy = 0 is
ex(siny + cosy)=C
exsiny = C
excosy = C
ex = Csiny
The degree of the differential equation is ______.
0
The general solution of the equation dy/dx = x2/y2 is
x3 - y3 = C
x3 + y3 = C
x2 + y2 = C
x2 - y2 = C
The degree of the differential equation d2y/dx2 + (dy/dx)3 + 6y = 0 is
5
A differential equation whose equation is y = cx + x2, where c is a constant, is _________.
dy/dx = y + x2
dy/dx + y = x2
x.dy/dx - y = x2
x.dy/dx + y/x = x2
