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This tutorial is designed for the advanced Genesis user interested in better understanding  how the Hines-solver (hsolve) is implemented in Genesis.  We will first review some equations fundamental to many neuro-biological models and illustrate how these equations are solved numerically. We will then focus  on the implicit solutions to these equations using hsolve and show how hsolve's configuration relates to the numerical side. After a survey on the basic use of hsolve and examples on how to interface hsolve to other Genesis elements, we show a number of useful tricks that are impossible without a global computation engine as hsolve. Finally we conclude with the more technical sides like hsolve - synchan interoperability via discrete events and disassembling byte codes that represent numerical equations.