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Numerical Methods using MATLAB by Abhishek K Gupta

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CHAPTER 10

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Differential Equations and System Dynamics

In Chapter 5, we saw how we can simulate a continuous process given by the update equations which define the rate of change of the process in terms of the current and previous values of the process. A real world system is a combination of interdependent processes which may be hidden or visible to the outside world. A mathematical model of the system generally consists of the update equations (known as state equations) of all such processes and these processes themselves determine the system dynamics. As discussed earlier, the update equations of the continuous time processes are in the form ...

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