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OpenStudy (anonymous):
Find all functions f(x) that satisfy d/dx f(x) = f(x) where f(x) =/= 0
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OpenStudy (campbell_st):
well what about \[f(x) = e^x\]
OpenStudy (anonymous):
Yeah I know, but I'm assuming it wants me to show why that's the only one, if there are no others
OpenStudy (campbell_st):
well in general its really f(x) = ae^x
OpenStudy (anonymous):
Yeah, but how can we be certain there are no others?
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