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## Homework Statement

[tex]f:\Re\rightarrow\Re[/tex]

[tex]e^xf(x)+e^xf\prime(x)=f(x)[/tex]

Find f(x)

## Homework Equations

## The Attempt at a Solution

i don't know if [tex] f(x)\neq 0[/tex] so i can't divide by [tex]f(x)[/tex] which would make things pretty simple.