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)
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
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 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 solution of dy/dx = ex+y + x2 ey; y(0) = 0 is ________.
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 _________.
The degree of the differential equation is
1
3
2
5
The order of the differential equation dy/dx = sinx is ______.
0
