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 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 ______.
1
2
3
0
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 degree of the differential equation is
5
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
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
Solution of (x2 + 3xy + y2) dx - x2dy = 0 is
None of these
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
