Question

For fun, Solve DE

Answer 1

\[(e^y+1)^2e^{-y}dx+(e^x+1)^3e^{-x}dy=0\]

Answer 2

I do believe the book did something crazy with simplifying so we might all have different answers

Answer 3

http://www.wolframalpha.com/

Answer 4

that wouldn't be fun @binary3i

Answer 5

yeah.

Answer 6

besides, wolfram sucks at DE's anyway
here's an example I keep to remind myself of that
http://www.wolframalpha.com/input/?i=4y%27%27%2B8y%27%2B2y%3Dcos%5E2x

Answer 7

(e^y-1) +2(e^x+1)^2=C

Answer 8

really doesn't look that bad to me

\[\frac{(e^y)+1)^3}{e^y}dx+\frac{(e^x+1)^3}{e^x}dy=0\]

Answer 9

\[\frac{(e^y+1)^2}{e^y}dx=-\frac{(e^x+1)^3}{e^x}dy\]

Answer 10

cf = \[\frac{e^ye^x}{((e^y+1)^2)((e^x+1)^3)}\]

Answer 11

\[\frac{e^x}{(e^x+1)^3}dx=-\frac{e^y}{(e^y+1)^2}dy\]