The order of the differential equation is ________.
1
2
3
4
The particular solution of dy/dx = x + 1 given that x = 0, y = 3 is
y = x log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 2
y = (x + 1) log (x + 1) - x + 1
The solution of 2(y + 3) - xy dy/dx = 0 with y = -2, when x = 1 is
(y + 3) = x2
x2 (y + 3) = 1
x4(y + 3) = 1
x2 (y + 3)3 = ey+2
The degree of the differential equation is ______.
0
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
The order and degree of the diff:equation are _______.
2,2
2,1
1, 2
2, 3
The solution of dy/dx = ex+y + x2 ey; y(0) = 0 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 differential equation for which y = a cosx + b sinx is a solution of _________.
The differential equation corresponding to y = kx is ______.
y = x. dy/dx
y = k. dy/dx
dy/dx = k. dy/dx
y = kx + c
