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New Conditions for Obtaining the Exact Solutions of the General Riccati Equation
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We propose a direct method for solving the general Riccati equation y ′ = f ( x ) + g ( x ) y + h ( x ) y 2 .
We first reduce it into an equivalent equation, and then we formulate the relations between the coefficients functions f ( x ) , g ( x ) , and h ( x ) of the equation to obtain an equivalent separable equation from which the previous equation can be solved in closed form.
Several examples are presented to demonstrate the efficiency of this method.
American Psychological Association (APA)
Lazhar, Bougoffa. 2014. New Conditions for Obtaining the Exact Solutions of the General Riccati Equation. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049472
Modern Language Association (MLA)
Lazhar, Bougoffa. New Conditions for Obtaining the Exact Solutions of the General Riccati Equation. The Scientific World Journal No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1049472
American Medical Association (AMA)
Lazhar, Bougoffa. New Conditions for Obtaining the Exact Solutions of the General Riccati Equation. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1049472
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049472