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

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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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