s****h 发帖数: 921 | 1 1-F(x)-(1+exp(-x))*dF(x)/dx=0
0 |
r****y 发帖数: 1437 | 2 If you take derivative on both side,
F' - F'' = 0
Then it seems only solution is F(x) = 1?
【在 s****h 的大作中提到】 : 1-F(x)-(1+exp(-x))*dF(x)/dx=0 : 0
|
Q******g 发帖数: 607 | 3 F(x)=1+const/(exp(x)-1)
【在 s****h 的大作中提到】 : 1-F(x)-(1+exp(-x))*dF(x)/dx=0 : 0
|
S*********N 发帖数: 6151 | 4
are you sure? it is ODE.
(exp(x)+C)/(exp(x)+1)
【在 s****h 的大作中提到】 : 1-F(x)-(1+exp(-x))*dF(x)/dx=0 : 0
|
Q******g 发帖数: 607 | 5 "-" in denominator.
【在 S*********N 的大作中提到】 : : are you sure? it is ODE. : (exp(x)+C)/(exp(x)+1)
|
s****h 发帖数: 921 | 6 thanks.
the solution is what STOCKDAEMON said.
exp(x)+c
F(x)=------------
exp(x)+1 |
Q******g 发帖数: 607 | 7 oops, my mistake. Stockdaemon is right. my solution is wrong,
it should be "+" in the denominator.
【在 s****h 的大作中提到】 : thanks. : the solution is what STOCKDAEMON said. : exp(x)+c : F(x)=------------ : exp(x)+1
|