Find the function(antidiff)

1. Apr 15, 2009

tombk2

1. The problem statement, all variables and given/known data

$$f:\Re\rightarrow\Re$$
$$e^xf(x)+e^xf\prime(x)=f(x)$$
Find f(x)

2. Relevant equations

3. The attempt at a solution
i don't know if $$f(x)\neq 0$$ so i can't divide by $$f(x)$$ which would make things pretty simple.

2. Apr 15, 2009

cse63146

Try this:

put all f '(x) on the left side, and f(x) on the right side