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A Closed Form Solution to a Special Normal Form of Riccati Equation
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 295–296·Published 21 September 2011·DOI10.4236/apm.2011.15053
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Abstract
We present the general solution to the Riccati differential equation, d<i>w</i>/d<i>z</i>=<i>z<sup>n</sup></i>+<i>w<sup>2</sup></i> , for arbitrary real number <i>n</i>.
KeywordsRiccati Differential EquationBessel Functions
- W. E. Boyce and R. C. DiPrima, “Elementary Differential Equations and Boundary Value Problems,” 6th Edition, Wiley, New York, 1997.
- M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions,” Dover Publications Inc., New York, 1970.