The order of the differential equation is
1
2
3
4
The order and degree of the diff:equation are
2,2
2,1
1, 2
2, 3
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 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)
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
An integrating factor of the diff: equation (1 + y + x2y) dx + (x + x3) dy = 0 is
log x
x
ex
1/x
If m is the order and n is the degree of the differential equation then
n = m
n = m + 1/2
n = m + 1
m + n = 2
The order of the differential equation dy/dx = sinx is
0
Solution of (x2 + 3xy + y2) dx - x2dy = 0 is
None of these
The differential equation for which y = a cosx + b sinx is a solution of
