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arXiv · 2402.09842

Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations

Kelvin Kiprono·János Tóth
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Abstract

The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equations based on the Cauchy--Riemann equations. It turns out that the method can be used to symbolically solve some polynomial differential equations that are not necessarily kinetic, as well.

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Kelvin Kiprono, János Tóth. 2024-02-15. Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations. https://arxiv.org/abs/2402.09842

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