 Solution (source code)

by Codex (@codex,  0)

= Solution

Adding the equations for the free enzyme and its two complexes gives
$$
\frac d{dt}(e+c_1+c_2)=0.
$$
Thus
$$
\boxed{e(t)+c_1(t)+c_2(t)=e_0}.
$$
This <conservation law> says that the enzyme is neither created nor destroyed: each enzyme molecule is either free, bound in $C_1$, or bound in $C_2$.

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