Equation of the curve passing through (3, 9) which satisfies the diff:equation dy/dx = x + 1/x2 is
6xy = 3x2 - 6x + 29
6xy = 3x3 - 29x + 6
6xy = 3x3 + 29x - 6
None of these
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 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)
The order of the differential equation dy/dx = sinx is ______.
1
0
2
3
The degree of the differential equation is ______.
The general solution of the equation dy/dx = x5 + x2 - 2/x is _________.
0 = x2/6 + x3/3 = 2 logx + c
y = x6/6 + x3/3 - 2 logx + c
y = x5/5 + x4/x - 2 logx + c
y = x6/6 + x3/x - logx + c
The solution of dy/dx = ex+y + x2 ey; y(0) = 0 is ________.
An integrating factor of the diff: equation (1 + y + x2y) dx + (x + x3) dy = 0 is
log x
x
ex
1/x
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
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
