We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success. We work to build our model of random events which leads to the differential equations for Pn(t), the probability that our system is in state n or as we will call it En at time t. We compute the mean state value and then apply our new found knowledge to solve some problems.
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