Verify by direct substitution that the given power series is a solution of the indicated differential equation.
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Verify by direct substitution that the given power series is a solution of the indicated differential equation. For a power x2n+1 let k = n + 1.
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Here y 00 n1 00 n1 2 On differentiating ...View the full answer
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Ganesan G
Prof. G. Ganesan, has his roots in the field of Mathematics, and has interest in developing Mathematical tools and techniques having applications in the domain of Computer Science and Technology. He is qualified in both the fields and has been able to utilize his expertise in undertaking research in Computational Mathematics and specifically in Soft Computing. He has more than 20 years of teaching and research experiences in Mathematics and Allied Computational subjects. He has guided 2 Ph.D scholars and is currently guiding 7 Ph.D scholars in the areas of deriving rough fuzzy logic and inferences, characterization in information systems, and rough and fuzzy hybridizations.
Prof.G.Ganesan has published about 35 research papers in different international journals and 15 research papers in conference proceedings. He has authored a Book titled Algebra of Information Systems using Rough Sets and Fuzzy Sets and has authored chapters in edited books like Computational Mathematics, Computing and Mathematical Modelling, and Intelligent Optimization Modelling. Some of his prominent research contributions are the development of a tool for indexing an information system with fuzzy decision attributes, rough fuzzy groups, reduction of ambiguities while approximating concepts using rough sets.
His excellent research skills earned him State Scientist Award by Government of Andhra Pradesh. He is the recipient of Srinivasa Ramanujan Best Mathematician Award [2012-13 & 2013-14]. Also, he holds Global Academic Researcher Award, Award on Achievement in Higher Education, Award on Teaching Excellence, Award on Research Excellence etc. His excellent academic performance earned him the Gold Medal for his first rank in M.Sc. Mathematics.
Prof.G.Ganesan has delivered invited talks at various national and international conferences, workshops and seminars organised in different Universities and Institutions of repute. Also, he delivered expert lectures in the Academic Staff Colleges of different Universities.
Prof.G.Ganesan is the life member of International Rough Sets Society, International Association of Engineers [Hong Kong] , senior member of International Association of Computer Science and Information Technology [Korea], and member of International Information Institute [2006, Japan]. He is a Fellow in Bose Science Society and Institution of Electronics and Telecommunication Engineering.
Prof.G.Ganesan holds responsibilities of varying capacities in Editorial Board of more than ten International Journals related to Mathematics and Computer Science. He has been Guest Editor for the special issues of reputed journals such as Journal of Engineering Letters [Hong Kong] and Journal of Convergence in Information Technology [Korea]. He is actively working as a reviewer/referee for journals such as Annals of Fuzzy Mathematics and Informatics, and World Society of Engineering and Science Journals.
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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