I need help with this matlab problem.

The following system is a classic example of a stiff system of ODEs that commonly occur in the simulation of chemical reaction kinetics:

$\frac{dA}{dt}=-k_{1}AB+k_{2}C$

$\frac{dB}{dt}=-k_{1}AB+k_{2}C-k_{3}BC$

$\frac{dC}{dt}=k_{1}AB-k_{2}C-k_{3}BC$

of $k_1=0\mathrm{.}15,k_2=0\mathrm{.}1,$ and $k_3=100.$ write a script that solve these equations from $t=0$ to $10$ using the following methods $($please name variables according to instructions$)$:

the concentration of $A,$ the second column the concentration of $B,$ and the third column the concentration of $C.$

forward in time. Store the results in a $3$ column matrix named yRK$2$ with the first column the concentration of $A,$ the second column the concentration of $B,$ and the third column the concentration of $C.$

column the concentration of $C.$

column the concentration of $B,$ and the third column the concentration of $C.$

second column the concentration of $B,$ and the third column the concentration of $C.$

first element.

Notes:

You will need to setup the system of equations as an anonymous function within your script and reference it correctly.

You can plot the solutions in respect with the time steps to visualize and verify the solution behavior described in each bullet point.

Consider inserting tic and toc commands in your code to time each solution and participating in this week's forum discussion on this problem.