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Ponte Academic Journal
Jul 2017, Volume 73, Issue 7

SINGULARITY ANALYSIS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Author(s): Dr. A. Maharaj

J. Ponte - Jul 2017 - Volume 73 - Issue 7
doi: 10.21506/j.ponte.2017.7.26



Abstract:
We provide a brief explanation of singularity analysis and it\'s application to nonlinear second-order ordinary differential equations. The calculation of the leading order behaviour and resonaces is also explained. We provide a detailed explaination of the Left Painlev\\\'e, Right Painlev\\\'e and full Painlev\\\'e series and the existance of analytic solutions.
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