1. The Problem 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.