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 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 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 differential equation of all non - vertical lines in a plane is
d2y/dx2 = 0
d2x/dy2 = 0
dy/dx = 0
dx/dy = 0
The degree of the differential equation d2y/dx2 + (dy/dx)3 + 6y = 0 is
1
2
3
5
Solution of x2 + y2dy/dx = 4 is
x2 + y2 =12x +C
x2 + y2 = 3x +C
x3+ y3 = 3x + C
x3+ y3 = 12x +C
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 general solution of excosydx - ex sinydy = 0 is
ex(siny + cosy)=C
exsiny = C
excosy = C
ex = Csiny
The degree of the differential equation is ______.
0
The differential equation for which y = a cosx + b sinx is a solution of _________.
