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2005•Unpublished venueRequires access

Solution of a class of Riccati equations

Krishna Busawon, Patrick Johnson

Open publisher page 3 citations

Abstract

Abstract: In this paper, we derive the analytical closed form solution of a class of Riccati equations. Since it is well known that to every Riccati equation there corresponds a linear homogeneous ordinary differential equation (ODE), the result obtained is subsequently employed to derive the analytical solution of the class of second order linear homogeneous ODEs corresponding to the class of Riccati equations considered. In addition, we present some examples in order to demonstrate the validity of the results obtained. 1

About this research paper

What this paper is about

Abstract: In this paper, we derive the analytical closed form solution of a class of Riccati equations. Since it is well known that to every Riccati equation there corresponds a linear homogeneous ordinary differential equation (ODE), the result obtained is subsequently employed to derive the analytical solution of the class of second order linear homogeneous ODEs corresponding to the class of Riccati equations considered. In addition, we present some examples in order to demonstrate the validity of the results obtained. 1

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract: In this paper, we derive the analytical closed form solution of a class of Riccati equations. Since it is well known that to every Riccati equation there corresponds a linear homogeneous ordinary differential equation (ODE), the result obtained is subsequently employed to derive the analytical solution of the class of second order linear homogeneous ODEs corresponding to the class of Riccati equations considered. In addition, we present some examples in order to demonstrate the validity of the results obtained. 1

Key concepts: Riccati equation, Ode, Algebraic Riccati equation, Mathematics, Ordinary differential equation, Class (philosophy), Homogeneous, Applied mathematics

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