The order of the differential equation of all conics whose center lie at the origin is given by
2
3
4
None of these
For solving dy/dx =4x + y +1 ,suitable substitution is
y = Vx
y = 4x + V
y = 4x
y + 4x + 1 = V
The order of the differential equation of all parabolas whose axis of symmetry is along x-axis is of order
1
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
The general solution of excosydx - ex sinydy = 0 is
ex(siny + cosy)=C
exsiny = C
excosy = C
ex = Csiny
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
Solution of differential equation dy - sinxsinydx = 0
ecosx tany/2 =c
ecosx tany =c
cosx tany = c
cosxsiny = c
The solution of the differential equation 2x dy/dx -y = 3 represents
Straight line
Circles
Parabola
Ellipse
The solution of the equation (x + 1)2. dy/dx = xex is__________.
(x + 1) y = (x + 1)ex + c(x + 1)
(x + 1)y = (x + 1)ex + c
(x + 1)y = ex + c(x + 1)
y = (x + 1)ex + c (x + 1)
The order of the differential equation
