The general solution of excosydx - ex sinydy = 0 is
ex(siny + cosy)=C
exsiny = C
excosy = C
ex = Csiny
The order of the differential equation
1
2
3
4
The degree of the differential equation
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 order of the differential equation of all parabolas whose axis of symmetry is along x-axis is of order
None of these
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 conics whose center lie at the origin is given by
The diff: equation corresponding to y2 - 2ay + x2 = a2 by eliminating a is ______.
(dy/dx)2 (x2 - 2y2) - 4 (dy/dx)xy - x2 = 0
(dy/dx)2 (y2 - 2x2) - 4.dy/dx . xy - x2 = 0
(dy/dx)2 . y2 - 4. dy/dx . xy - x2 = 0
(dy/dx)2 (x2 - 2y2) - 4. dy/dx - x2 = 0
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
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)
