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d/dx f(x) = f(x)

Name: Anonymous 2007-12-16 16:39

Are there any other functions from R to R whose derivative everywhere equals itself, beside x -> a*e^x for constant a in R?

Name: Anonymous 2007-12-16 22:03

Or by proving that f(x)=f'(x) implies that f(x)=a*e^x. This is very easy.

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