Studying the (n-1)-th Order Riccati Type Characteristic Equations of Linear Differential Equations in the Form of Algebraic Equations
Current Journal of Applied Science and Technology · pp. 245–253 · Published 19 Feb 2013
10.9734/BJAST/2014/2361Abstract
From existence of analogies between problems of integrating Linear differential equations (LDE) in quadratures and solution to algebraic equations in radicals and based on studying properties of the latter in the article we have found one special differential equation. By studying characteristic equation of Riccati type and linking it to an algebraic equation we have obtained a recurrent LDE with variable coefficients and have established its properties.
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