In Problem 1 suppose that time is measured in days, that the decay constants are k1= - 0.138629 and k2= - 0.004951, and that x0 = 20. Use a graphing utility to obtain the graphs of the solutions x(t), y(t), and z(t) on the same set of coordinate axes. Use the graphs to approximate the half-lives of substances X and Y.
(reference problem 1)
We have not discussed methods by which systems of first-order differential equations can be solved. Nevertheless, systems such as (2) can be solved with no knowledge other than how to solve a single linear first order equation. Find a solution of (2) subject to the initial conditions x(0)= x0, y(0) = 0, z(0) = 0.
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