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
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
The differential equation corresponding to y = kx is ______.
y = x. dy/dx
y = k. dy/dx
dy/dx = k. dy/dx
y = kx + c
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
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 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
Solution of (x2 + 3xy + y2) dx - x2dy = 0 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 degree of the differential equation is ______.
0
