Problem 3. Numerical ODES (25 pts) For the following reaction scheme: A>B B2C B>D C+ DA a) What is possibly wrong with the above mechanism? [5 pts] b) Ignoring the error, write down the deterministic differential equation describing this d system in the form = where X = {[A], [B], [C], [D]}, is the stoichiometric matrix and is the vector of rates laws for each reaction. (10 pts] dt c) Assuming all the rate constants are 1 use your favorite tool to simulate, deterministically the time-course of this system starting at X = {100,0,0,0}. [10 pts]