Question

Guys, a simple question please

How can I turn " M=e^t - e^tM "
into
" M= e^t / (1 + e^t) "

Answer 1

equate them and see what you can do to them :) maybe

Answer 2

m+e^tm=e^t
m(1+e^t)=e^t
m=e^t/(1+e^t)

Answer 3

e^t -e^(tM) = e^t/(1+e^t) ; *(1+e^t) both sides

(e^t -e^(tM))(1+e^t) = e^t

Answer 4

e^t +e^2t - e^(tM) - e^(t^2M) = e^t

Answer 5

Oh, right, I've got it! Thank you very much ! :D