Write a differential equation to model the situation given. Do not solve.

The radioactive substance neptunium-139 decays to 73.36% of its orginal amount after 24 hours. How long would it take for 43% of the original neptunium to be present? What is the half-life of neptunium-139?

2 answers

It's impossible to write a d.e. from just this information. You forgot to include the fact that the rate of decay is proportional to the amount of neptunium present.

That is,

dp/dt = -kp
That was all the information provided for this problem >.< Thank you for your response! :)