Summary
The definition of the differential resultant of a set of ordinary differential polynomials is reviewed and its computation via determinants is revisited, using a modern language. This computation is also extended to differential homogeneous resultants of homogeneous ordinary differential polynomials. A numeric example is included and an example of the application of elimination theory to biological modelling is revisited, in terms of differential resultants.
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Rueda, S.L. (2011). On the Computation of Differential Resultants. In: Pardo, L., Balakrishnan, N., Gil, M.Á. (eds) Modern Mathematical Tools and Techniques in Capturing Complexity. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20853-9_7
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