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## Homework Statement

f(x)=f'(x) for all x in R

S.T there exists a c in R such that f(x) = c exp(x) for all x

## Homework Equations

## The Attempt at a Solution

By defining g = f/c, I was able to show that c= f(0)

But i am also supposed to show that c Not equal to any other value

I tried assuming that c=f(1) and cannot find a contradiction unless I plug it into f(1)=f(1).exp(1).

I am supposed to use Mean value Thm to show the contradiction. How do I go about doing it?