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.

Question

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.

anonymous · Answer

whats ODE

baldymcgee6 · Answer

ordinary differential equation

anonymous · Answer

$$\frac{ \delta fc }{ \delta t }=-\frac{ \ln(2) }{ half-life }fc$$

anonymous · Answer

where fc is the concentration of C14

baldymcgee6 · Answer

right, I know the formula for half-life but i don't know how to get the ODE

anonymous · Answer

thats the ODE

anonymous · Answer

you want the process to get there?

baldymcgee6 · Answer

yes please

anonymous · Answer

Im too tired to explain how i got there, its a little bit complicated... srry mate

baldymcgee6 · Answer

Alright, thanks anyways.

anonymous · Answer

but do u know how to solve that?