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Extensive research is currently under way in developing methods to solve a linear system of first-order differential equations, and in particular the system of equations associated with computer-oriented circuit design.1-20 The methods presented here are based upon topological and graph theory, which is a natural modeling method for networks since an electrical network is a topological arrangement of electrical components. The information pertinent to circuit analysis and synthesis can be categorized in two phases: first, the topological arrangement of circuit components, and second, the electrical relations within the components.

Application of unilateral and graph techniques to analysis of linear circuits