15.4.1 Queuing systems

Problem: A system of differential equations must be composed for the systems, given by the graphs in the figure. \[ \begin{array}{l} P_{0}^{\prime}(t)=-0,01 P_{0}(t) \\ P_{1}^{\prime}(t)=0,01 P_{0}(t)-0,01 P_{2}(t) \\ P_{2}^{\prime}(t)=0,01 P_{1}(t)-0,01 P_{2}(t) \\ P_{3}^{\prime}(t)=0,01 P_{2}(t) \end{array} \text { for the possibilities } P_{i}(t), i=0,1, \ldots \] of the form \( P_{2}^{\prime}(t)=0,01 P_{1}(t)-0,01 P_{2}(t) \) for the possibilities \( P_{i}(t), i=0,1, \ldots \) Wherein, assume that at the initial moment \( (t=0) \) the system is in zero state. a) b) c) d)