## baldymcgee6 3 years ago 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.

1. levinelevine

whats ODE

2. baldymcgee6

ordinary differential equation

3. levinelevine

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

4. levinelevine

where fc is the concentration of C14

5. baldymcgee6

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

6. levinelevine

thats the ODE

7. levinelevine

you want the process to get there?

8. baldymcgee6

9. levinelevine

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

10. baldymcgee6

Alright, thanks anyways.

11. levinelevine

but do u know how to solve that?