Derive the numerical solution of the point kinetics equations

Write an appropriate MATLAB code to plot 1- the neutron population and 2- precursors simultaneously (RK4 method or Euler's method).

From the below table, use reactivities with corresponding time intervals.

In step three, find out the appropriate reactivity (function of only) that will make the power return to its original level.

please provide a proper clear answer with the explination

Step	Time interval (seconds)	Reactivity
1	0 2	0
2	2 4	-0.100t
3	4 6	???
4	6 8	-0.240
5	8 10	0