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
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 differential equation which represents the family of plane curves y= ecx
y' = cy
xy' - logy = 0
x logy = yy'
ylogy = xy'
The degree of the differential equation d2y/dx2 + (dy/dx)3 + 6y = 0 is
1
2
3
5
Solution of the differential equation dx/x + dy/y = 0 is
1/x + 1/y = C
logx logy = C
xy = C
x + y = C
The general solution of the equation dy/dx = x2/y2 is
x3 - y3 = C
x3 + y3 = C
x2 + y2 = C
x2 - y2 = C
The order of the differential equation of all conics whose center lie at the origin is given by _____.
4
None of these
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
The differential equation for which y = a cosx + b sinx is a solution of _________.
The solution of the differential equation 2x dy/dx -y = 3 represents
Straight line
Circles
Parabola
Ellipse
