Algebraic language linear equations

Hence, through the LCAO expansion we have translated the non-linear optimization problem, which required a set of difficult to tackle coupled integro-differential equations, into a linear one, which can be expressed in the language of standard linear algebra and can easily be coded into efficient computer programs. 

This means that the mathematical model to be deduced will consist of two explicit differential equations including resistor currents and a set of coupled implicit algebraic equations for the outputs of the resistors and the input of the controlled source. As the model is linear, these algebraic equations could be solved symbolically turning the DAE system into an explicit ODE system. Alternatively, the DAE system could be directly formulated in the Scilab script language and evaluated by the DASSL solver. 

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