For solving dy/dx =4x + y +1 ,suitable substitution is
y = Vx
y = 4x + V
y = 4x
y + 4x + 1 = V
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 order of the differential equation of all circles of radius 'a' is
2
3
4
1
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 dy/dx = sinx is ______.
0
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)
Integrating factor of dy/dx +y/x = x3 - 3 is
x
logx
-x
ex
The differential equation for which y = a cosx + b sinx is a solution of _________.
The order of the differential equation of all parabolas whose axis of symmetry is along x-axis is of order
None of these
The equation of the curve whose slope at any point different from origin is y+ y/x is
y = cxex ,c ≠0
y = xex
xy = ex
y +xex = c
