How to solve this differential equation ?

ydx + (1 + ye^x)*dy = 0

Question

How to solve this differential equation ?

ydx + (1 + ye^x)*dy = 0

crisulcampo · Answer

@agent0smith

crisulcampo · Answer

do you have any idea @agent0smith ?

zepdrix · Answer

Boy this one doesn't work out very nicely :( https://www.wolframalpha.com/input/?i=y(x)%2B(1%2By(x)e%5Ex)y%27(x)%3D0 where did you get this ugly looking equation?

crisulcampo · Answer

My mathematics teacher wrote it on the whiteboard :(

crisulcampo · Answer

so, there is no solution step-by-step :(

zepdrix · Answer

See that big ugly W in the denominator of the solution?
Ya, this doesn't look like it has a closed form solution...
Unless you're doing power series or something? :o

crisulcampo · Answer

Yes dude! I just saw that big ugly W

zepdrix · Answer

Bahh I dunno >.< Math is hard!

agent0smith · Answer

I read a bit about the W function recently, @Kainui posted about it. It's the inverse of $\large f(x) = xe^x$ but i didn't read too much into it.

unklerhaukus · Answer

Is it an inexact equation?
Maybe you can make it exact with an integrating factor

irishboy123 · Answer

wot, some analysis?!?!

this is the Math Wolfram conduit