Solution of differential equation dy - sinx sinydx = 0
ecosx tany/2 =c
ecosx tany =c
cosx tany = c
cosx siny = c
Integrating factor of dy/dx +y/x = x3 - 3 is
x
logx
-x
ex
The differential equation of all non - vertical lines in a plane is
d2y/dx2 = 0
d2x/dy2 = 0
dy/dx = 0
dx/dy = 0
The differential equation which represents the family of plane curves y= ecx
y' = cy
xy' - logy = 0
x logy = yy'
ylogy = xy'
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 degree of the differential equation d2y/dx2 + (dy/dx)3 + 6y = 0 is
1
5
The general solution of the equation dy/dx = x2/y2 is
x3 - y3 = C
x3 + y3 = C
x2 + y2 = C
x2 - y2 = C
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 differential equation for which y = a cosx + b sinx is a solution of _________.
The general solution of the equation dy/dx = x5 + x2 - 2/x is _________.
0 = x2/6 + x3/3 = 2 logx + c
y = x6/6 + x3/3 - 2 logx + c
y = x5/5 + x4/x - 2 logx + c
y = x6/6 + x3/x - logx + c
