baldymcgee6
Scientists discover a fossil that contains 74% as much radioactive carbon, 14C, as does a living mammal. Assuming the half-life of 14
C to be about 5730 years, write the ODE representing the decay of carbon in the specimen and estimate its age.
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levinelevine
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whats ODE
baldymcgee6
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ordinary differential equation
levinelevine
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\[\frac{ \delta fc }{ \delta t }=-\frac{ \ln(2) }{ half-life }fc\]
levinelevine
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where fc is the concentration of C14
baldymcgee6
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right, I know the formula for half-life but i don't know how to get the ODE
levinelevine
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thats the ODE
levinelevine
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you want the process to get there?
baldymcgee6
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yes please
levinelevine
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Im too tired to explain how i got there, its a little bit complicated... srry mate
baldymcgee6
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Alright, thanks anyways.
levinelevine
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but do u know how to solve that?