An enzymatic reaction in a batch reactor is described by the following set of ordinary differential equations:

$\frac{d{c}_S}{dt}=-k_1{c}_S{c}_E+k_2{c}_C$

$\frac{d{c}_C}{dt}=k_1{c}_S{c}_E-(k_2+k_3)c_C$

$\frac{d{c}_P}{dt}=k_3{c}_C$

where $c_E=c_E(0)-c_C.$

Use Matlab function ode$45$ to solve the above equations from $t=0h$ to $t=48h$ for the following parameters:

$\backslash$table$[[c_S(0),1kmol{m}^{-3}$