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Authors introduce a generalized singular differential equation of quadratic Lienard type for study of exact classical and quantum mechanical solutions. The equation is shown to exhibit periodic solutions and to include the linear harmonic oscillator equation and the Painleve-Gambier XVII equation as special cases. It is also shown that the equation may exhibit discrete eigenstates as quantum behavior under Nikiforov-Uvarov approach after several point transformations.

Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type