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 ________.
The degree of the differential equation d2y/dx2 + (dy/dx)3 + 6y = 0 is
1
2
3
5
Solution of x2 + y2dy/dx = 4 is
x2 + y2 =12x +C
x2 + y2 = 3x +C
x3+ y3 = 3x +C
x3+ y3 = 12x +C
The general solution of excosydx - ex sinydy = 0 is
ex(siny + cosy)=C
exsiny = C
excosy = C
ex = Csiny
The general solution of the equation dy/dx = x2/y2 is
x3 - y3 = C
x3 + y3 = C
x2 + y2 = C
x2 - y2 = C
The order of the differential equation dy/dx = sinx is ______.
0
The solution of dy/dx = (y/x)1/3 is
x2/3 + y2/3 =C
x1/3 + y1/3 =C
y2/3 - x2/3 =C
y1/3 - x1/3 =C
For solving dy/dx =4x + y +1 ,suitable substitution is
y = Vx
y = 4x + V
y = 4x
y + 4x + 1 = V
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)