(*^

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                                     Continuous Dynamical Systems

The cell below computes numerical estimates for an initial value problem like the ones we look at in this module.   Evaluate it now.
;[s]
4:0,1;65,0;183,2;198,0;200,-1;
3:2,13,9,Times,0,12,0,0,0;1,13,9,Times,1,12,0,0,0;1,13,9,Times,1,12,65535,0,0;
:[font = input; preserveAspect; ]
Clear[solution, p, m, b]

InitialCondition := 0.50
m := -1
b := 2

solution=NDSolve[
  {p'[t] == m * p[t] + b,
   p[0] == InitialCondition}, 
   {p}, {t, 0, 5}];
   
Plot[p[t] /. solution, {t, 0, 5},
     PlotRange -> {0, 4}]
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You can answer the questions about continuous dynamical systems by changing the values of InitialCondition, m, and b.
;[s]
7:0,0;90,1;106,0;108,1;109,0;115,1;116,0;118,-1;
2:4,13,9,Times,0,12,0,0,0;3,13,9,Times,1,12,0,0,0;
^*)