The degree of the differential equation is
1
2
3
0
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
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
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 differential equation for which y = a cosx + b sinx is a solution of
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 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
An integrating factor of the diff: equation (1 + y + x2y) dx + (x + x3) dy = 0 is
log x
x
ex
1/x
