| 释义 | Riccati Differential Equation
 where|  | (1) | 
 .  The transformation 
 leads to the second-order linear homogeneous equation|  | (2) | 
 Another equation sometimes called the Riccati differential equation is|  | (3) | 
 which has solutions|  | (4) | 
 Yet another form of ``the'' Riccati differential equation is|  | (5) | 
 which is solvable by algebraic, exponential, and logarithmic functions only when|  | (6) | 
 , for  ,1, 2, .... References
 Abramowitz, M. and Stegun, C. A. (Eds.).  ``Riccati-Bessel Functions.''  §10.3 in Handbook of Mathematical Functions with Formulas,   Graphs, and Mathematical Tables, 9th printing.  New York: Dover, p. 445, 1972.Glaisher, J. W. L.  ``On Riccati's Equation.''  Quart. J. Pure Appl. Math. 11, 267-273, 1871. 
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