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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 10 (1987), Issue 1, Pages 205-207
doi:10.1155/S0161171287000267

Riccati equations

Lloyd K. Williams

Department of Mathematics, Texas Southern University, Houston 77004, Texas, USA

Received 2 February 1986

Abstract

In this paper we find closed form solutions of some Riccati equations. Attention is restricted to the scalar as opposed to the matrix case. However, the ones considered have important applications to mathematics and the sciences, mostly in the form of the linear second-order ordinary differential equations which are solved herewith.