How do I solve for y in this differential equation? +10BA!!!
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > How do I solve for y in this differential equation? +10BA!!!

How do I solve for y in this differential equation? +10BA!!!

[From: ] [author: ] [Date: 11-07-07] [Hit: ]
. . . .. .......
I got my differential equation down to this and now only need to solve for y, but how do I do it?

(e^y)/(e^y+1) = Ce^(0.5x^2), where C is a constant.

-
e^y / (1 + e^y) = Ce^((1/2) * x^2) <==== long division


. . . . . 1
. . . . . _____
e^y + 1I e^y
. . . . .-
. . . . . .e^y + 1
. . . . . _______
. . . . . 0 - 1

1 - 1/e^y

1 - 1/e^y = Ce^((1/2) * x^2)

1 - Ce^((1/2) * x^2) = 1/e^y

e^y = 1/(1 - Ce^((1/2) * x^2))

ln( e^y ) = ln( 1 / (Ce^((1/2) * x^2) )

y = ln( 1 ) - ln(Ce^((1/2) * x^2))

y = 0 - ln(Ce^((1/2) * x^2))

y = - ln(Ce^((1/2) * x^2))

-
solve(e^y/(e^y+1) = C*e^(0.5*x^2), y)

y = (.5*(2.*ln( - C/( - 1. + C*exp(0.5*x^2))) + x^2))
1
keywords: 10,this,solve,differential,BA,How,do,for,in,equation,How do I solve for y in this differential equation? +10BA!!!
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .