Solution of differential equation dy - sinxsinydx = 0 is
ecosxtany/2 = C
ecosxtany = C
cosx tany = C
cosx siny = C
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 degree of the differential equation
1
2
3
4
The order of the differential equation dy/dx = sinx is ______.
0
The degree of the differential equation is ______.
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 general solution of the equation dy/dx = x2/y2 is
x3 - y3 = C
x3 + y3 = C
x2 + y2 = C
x2 - y2 = C
The differential equation of all non - vertical lines in a plane is
d2y/dx2 = 0
d2x/dy2 = 0
dy/dx = 0
dx/dy = 0
Solution of x2 + y2dy/dx = 4 is
x2 + y2 =12x +C
x2 + y2 = 3x +C
x3+ y3 = 3x +C
x3+ y3 = 12x +C
