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2002•arXiv (Cornell University)Open access

Second-order linear differential equations associated to a Riccati equation of constant coefficients

Haret Codratian Rosu, O. Cornejo, Marco Antonio Reyes, D. Jiménez

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Abstract

We present several second-order linear differential equations that are associated to a particular Riccati equation with only one constant parameter in its coefficients through the technique of supersymmetric factorizations and through a Dirac-like procedure. The latter approach is a minimal extension of the results obtained with the first technique in the sense that it includes up to two more constant parameters

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We present several second-order linear differential equations that are associated to a particular Riccati equation with only one constant parameter in its coefficients through the technique of supersymmetric factorizations and through a Dirac-like procedure. The latter approach is a minimal extension of the results obtained with the first technique in the sense that it includes up to two more constant parameters

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Available abstract

We present several second-order linear differential equations that are associated to a particular Riccati equation with only one constant parameter in its coefficients through the technique of supersymmetric factorizations and through a Dirac-like procedure. The latter approach is a minimal extension of the results obtained with the first technique in the sense that it includes up to two more constant parameters

Key concepts: Riccati equation, Constant (computer programming), Constant coefficients, Mathematics, Linear differential equation, Differential equation, Mathematical analysis, Order (exchange)

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