1. The Problem(adsbygoogle = window.adsbygoogle || []).push({});

Construct a mathematical model (system of differential equations) for a radioactive series of 3 elements. X,Y, and Z (Z is a stable element). (Note: W decays into X, X decays into Y, and Y decays into Z). At time zero there are 100e (approx. 271.828) moles of element X. After two hours there are exactly 100 moles each of elements X and Y. Solve the IVP and calculate the number of moles for each of the three elements after i) 1 hour and ii) 5 hours

2. Relevant equations

dw/dt = kW

dx/dt = kW - cX

dy/dt = cX - aY

dz/dt = aY

( k ,c ,and a are all different constants)

x(0) = 100e

x(2) = 100

y(2) = 100

3. Attempt at solution

Im posting this to see if i have my system set up correctly. Im not looking for an answer.

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# Help with radioactive decay

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