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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 16:44

f(x) = 0

Name: Anonymous 2007-12-16 16:49

for y=y' the only solutions are y=c*e^x and y=0(this latter one is refered to as the trivial solution)

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