Conference proceedings

International conference KNOWLEDGE-BASED ORGANIZATION

Int. conf. KNOW-BASED ORG.

<abstract>
<title style='display:none'>Abstract</title>
For n-th order linear differential equations with constant coefficients the problem of determining the general solution involves determining the general solution of the attached homogeneous equation and, on the other hand, determining a particular solution. This paper aims to analyze the conditions under which the general solution can be obtained for a n-th order linear differential equation with constant coefficients which have the free term in the following form P(x). ln xunder the condition that the attached characteristic equation hassingle real root of order of multiplicity n. For this we will use the method of variation of constants which leads us to a system whose solution we will gain using the Upper incomplete Gamma function.
</abstract>

Abstract

Keywords

<article-title>Determining a Particular Solution for <italic>n-th</italic> Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following form <italic>P</italic>(<italic>x</italic>). <italic>ln x</italic> and the Characteristic Equation Has a Real Root of Order of Multiplicity n</article-title>

Determining a Particular Solution for  Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following form ()  and the Characteristic Equation Has a Real Root of Order of Multiplicity n

International conference KNOWLEDGE-BASED ORGANIZATION is covered by the following services: <ul> <li> Baidu Scholar </li> <li> CNKI Scholar (China National Knowledge Infrastructure) </li> <li> CNPIEC - cnpLINKer </li> <li> Dimensions </li> <li> EBSCO </li> <li> ExLibris </li> <li> Google Scholar </li> <li> J-Gate </li> <li> JournalTOCs </li> <li> KESLI-NDSL (Korean National Discovery for Science Leaders) </li> <li> MyScienceWork </li> <li> Naver Academic </li> <li> Naviga (Softweco) </li> <li> QOAM (Quality Open Access Market) </li> <li> ReadCube </li> <li> SCILIT </li> <li> Semantic Scholar </li> <li> TDNet </li> <li> Ulrich's Periodicals Directory/ulrichsweb </li> <li> WanFang Data </li> <li> WorldCat (OCLC) </li> <li> X-MOL </li> </ul>

International conference KNOWLEDGE-BASED ORGANIZATION ist in den folgenden Services indiziert: <ul> <li> Baidu Scholar </li> <li> CNKI Scholar (China National Knowledge Infrastructure) </li> <li> CNPIEC - cnpLINKer </li> <li> Dimensions </li> <li> EBSCO </li> <li> ExLibris </li> <li> Google Scholar </li> <li> J-Gate </li> <li> JournalTOCs </li> <li> KESLI-NDSL (Korean National Discovery for Science Leaders) </li> <li> MyScienceWork </li> <li> Naver Academic </li> <li> Naviga (Softweco) </li> <li> QOAM (Quality Open Access Market) </li> <li> ReadCube </li> <li> SCILIT </li> <li> Semantic Scholar </li> <li> TDNet </li> <li> Ulrich's Periodicals Directory/ulrichsweb </li> <li> WanFang Data </li> <li> WorldCat (OCLC) </li> <li> X-MOL </li> </ul>

CHAIRMAN: Ghiţă BÂRSAN, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania HONORARY COMMITTEE: Mamia BALAKHADZE, National Defense Academy, Gori, Georgia; Adrian CURAJ, UEFISCDI, Bucharest, Romania; Todor DOCHEV, “G.C. Rakovski” National Defence College, Sofia, Bulgaria; Teodor FRUNZETI, “Titu Maiorescu” University, Bucharest; Vladimír HIADLOVSKÝ, Matej Bel University, Banská Bystrica, Slovakia; Bonita JACOBS, University of North Georgia, Atlanta, Georgia, USA; João Carlos Cabral de Almeida Loureiro MAGALHÃES, Lisbon, Portugal; Ivan MALAMOV, “Vasil Levski” National Military University, Veliko Tarnovo, Bulgaria; Ovidiu NICOLESCU, Bucharest University of Economic Studies, Bucharest, Romania; Juliusz PIWOWARSKI, University of Public and Individual Security “Apeiron”, Krakow, Poland; Piotr PLONKA, General Tadeusz Kosciuszko Military Academy of Land Forces, Wroclaw, Poland; Ioan-Aurel POP, Romanian Academy, Bucharest, Romania; Karl PRONHAGL, Theresan Military Academy, Wiener, Austria; Jozef PUTTERA, Armed Forces Academy of General Milan Rastislav Štefánik, Liptovsky Mikulas, Slovakia; SCIENTIFIC COMMITTEE: Susana ALVAREZ-OTERO, University of Oviedo, Oviedo, Spain; Alexandru BABOŞ, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Dorel BADEA, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Tomasz BAK, University of Information, Technology and Management, Rzeszow, Poland; Paul BECHET, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Laviniu BOJOR, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; loan BONDREA, “Lucian Blaga” University, Sibiu, Romania; George BUCĂȚA, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Olga Maria Cristina BUCOVEȚCHI, Polytechnic University of Bucharest, Bucharest, Romania; Ștefania BUMBUC, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Simona Gabriela BUNGĂU, University of Oradea, Oradea, Romania; Marcin BUTLEWSKI, Poznan University of Technology, Poznan, Poland; Vasile CĂRUȚAȘU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Piera CENTOBELLI, University of Naples Federico II, Italy; Lucian Ionel CIOCA, “Lucian Blaga” University, Sibiu, Romania; Marius CIOCA, “Lucian Blaga” University, Sibiu, Romania; Alina CIUHUREANU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Ionuț Alin CÎRDEI, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Carmen Monica CREȚU, “Lucian Blaga” University, Sibiu, Romania; Agnieszka DEJA, Maritime University of Szeczecin, Poland; Anca DINICU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Cosmin DOBRIN, Academy of Economic Studies, Bucharest, Romania; Miriam ERTZ, University of Quebec in Chicoiutimi, Canada; Tibor FARKAS, University of Public Service - Ludovika, Budapest, Hungary; Cătălin FETECĂU, “Dunărea de Jos” University, Galati, Romania; Elena FLORIȘTEANU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Hortensia GORSKI, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Janusz GRABARA, Jan Dlugosz University in Czestochowa, Poland; Constantin GRIGORAȘ, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Sabin GUȚAN, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Cornel HAȚIEGAN, “Babeș-Bolyai” University, Resita, Romania; Dumitru IANCU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Florin ILIE, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Lucian ISPAS, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Zoltan JOBBAGY, National University of Public Service, Budapest, Hungary; Jugoslav JOZIĆ, “Dr. Franjo Tuđman” Croatian Defence Academy, Zagreb, Croatia; Sebastian KOT, Czestochowa University of Technology, Czestochowa, Poland; Atanasova Nevena KRASTEVA, “Vasil Levski” National Military University, Veliko Tarnovo, Bulgaria; Crenguța Mihaela MACOVEI, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Jana MAJEROVÁ, University of Zilina, Zilina, Slovakia; Ieva MEIDUTE-KAVALIAUSKIENE, General Jonas Žemaitis Military Academy of Lithuania, Vilnius, Lithuania; Simona MICLĂUȘ, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Marco Donald MIGLIORE, University of Cassino and Southern Lazio, Cassino, Italy; Liviu-Nicolae MIHĂESCU, “Lucian Blaga” University, Sibiu, Romania; Gabriela MIHĂILĂ LICĂ, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Gheorghe MINCULETE, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Nicolae MORO, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Dănuț MOȘTEANU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Silviu NATE, “Lucian Blaga” University, Sibiu, Romania; Vasile NĂSTĂSESCU, “Ferdinand I” Tehnical Military Academy, Bucharest, Romania; Mihai Marcel NEAG, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Romana OANCEA, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Pavel OTRISAL, Palacky Univesity, Olomouc, The Czech Republic; Silviu-Mihai PETRIȘOR, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Sorin PÎNZARIU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Toma PLEȘANU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Arpad POHL, National University of Public Service, Budapest, Hungary; lon POPA, Academy of Economic Studies, Bucharest, Romania; Diana Elena RANF, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Aurelian RAȚIU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Olivier RITTIMANN, NATO Defense College, Rome, Italy; Cristina Teodora ROMAN, “Alexandru Ioan Cuza” University, Iasi, Romania; Ioan-Călin ROȘCA, “Transilvania” University Brasov, Romania; Raluca RUSU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Annamaria SÂRBU, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Ferhan Kuyucak SENGUR, Eskisehir Technical University, Eskişehir, Türkiye; Miroslaw SMOLAREK, The General Tadeusz Kosciuszko Military Academy of Land Forces, Wroclaw, Poland; Andrzej SOBON, National Defence University, Warsaw, Poland; Alexandru STOIAN, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Darko SUKA, University of East Sarajevo, Lukavica, East Sarajevo, Republika Srpska, Bosnia and Herzegovina; Robert SZABOLCSI, “Óbuda” University Institute of Mechatronics and Vehicle Engineering, Budapest, Hungary; Paul TUDORACHE, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Ioan VIRCA, “Nicolae Bălcescu” Land Forces Academy, Sibiu, Romania; Kirsten WEIDE-ZAAGE, Leibniz University Hannover, Hannover, Germany. Language Editors: Gabriela MIHAILA-LICA, Land Forces Academy, Sibiu, Romania Technical Editors: Ovidiu CALBOREAN, Land Forces Academy, Sibiu, Romania Contact: <A href="mailto:conference@armyacademy.ro">conference@armyacademy.ro</A> Publisher De Gruyter Poland Bogumiła Zuga 32A Str. 01-811 Warsaw, Poland T: +48 22 701 50 15

The articles published in the Land Forces Academy KBO Proceedings should be uploaded on the online conference platform <A href="https://www.armyacademy.ro/engleza/conference.php">www.armyacademy.ro/engleza/conference.php</A>. Open Access Statement The proceedings is an Open Access proceedings that allows a free unlimited access to all its contents without any restrictions upon publication to all users. <A href="https://sciendo-parsed-data-feed.s3.eu-central-1.amazonaws.com/KBO/Open_Access_License.doc">Open Access License</A>

The Knowledge-Based Organization (KBO) is an international conference organized annually and hosted by "Nicolae Balcescu" Land Forces Academy of Sibiu, Romania. KBO Conference has became a registered trademark of the "Nicolae Balcescu" Land Forces Academy of Sibiu, bringing to the participants' attention new ideas and approaches related to the topic of knowledge-based organization, offering the opportunity to share experiences and scientific results in the academic and research environment, nationally and internationally. The 29th Edition of The Knowledge-Based Organization Conference KBO 2023 will take place on June 15-17, 2023. The 28th edition of the Knowledge-Based Organization (KBO) International Conference was hosted by Nicolae Balcescu Land Forces Academy of Sibiu, Romania (LFA) on June, 16-18 2022. LFA has been organizing this Conference since 1998 and, starting with 2004, it became an International Conference. The 2009, 2010, 2011, 2012 and 2015 proceedings of the conference are indexed in ISI CPCI, and the other editions are under evaluation. The paper selection process involves three stages. In the first stage are evaluated all submitted papers (only papers which are fitted to conference topics and passed the anti-plagiarism assessment, will be accepted), then, during the second stage, a double-blind peer-review of the papers will be carried out. The third stage consists of the authors’ noticing on their papers’ acceptance or necessary revisions (as a rule, papers can be accepted as they are, accepted with minor or major revisions, or rejected). The evaluation process takes into consideration both the scientific content and the topics addressed which has to fit the Conference framework. Moreover, in order to be accepted for publication, the papers also have to meet all the requirements of the template, according to the international editorial and publishing standards (abstracts, keywords, completed and updated references). This year’s edition of KBO 2022 has the following identification data: Full Title: International Conference - The Knowledge-Based Organization Proceedings ISSN: 1843-682X Proceedings ISBN: 978-973-153-485-5 (Vol. I), 978-973-153-486-2 (Vol. II), 978-973-153-487-9 (Vol. III) Published in Romania by: "Nicolae Balcescu" Land Forces Academy Printed by: "Nicolae Balcescu" Land Forces Academy Publishing House Editor’s name and address: "Nicolae Balcescu" Land Forces Academy, 3-5 Revoluţiei Street, 550170, Sibiu, Romania KBO 2022 conference was organized under the auspices of: <ul> <li> Academy of Romanian Scientists (AOSR) - Military Section </li> <li> Romanian Academic Society of Management (RASM) </li> <li> Technical Sciences Academy of Romania (ASTR) </li> </ul> KBO 2022 was in line with the previous editions subduing to attention of the participants new approaches and ideas related to the central topics of the conference or analyzing other subject matters discussed during the previous editions of this event. In this edition of the Conference, after the completion of the evaluation process, a number of 95 papers were accepted for publication and presented in the framework of the three panels created around the proposed main topics of this year, by authors from institutions of higher education and research of Romania, Bulgaria, Czech Republic, Hungary, Poland, Portugal and Republic of Moldova. Similarity Check Plagiarism Screening System The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process. Detailed description of the Similarity Check System can be found at: <a href="https://www.crossref.org/services/similarity-check/">https://www.crossref.org/services/similarity-check/</a> Archiving Sciendo archives the contents of this journal in <a href="https://www.portico.org/">Portico</a> - digital long-term preservation service of scholarly books, journals and collections. Plagiarism Policy The editorial board is participating in a growing community of <a href="https://www.crossref.org/services/similarity-check/">Similarity Check System's</a> users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process.

International conference KNOWLEDGE-BASED ORGANIZATION

Determining a Particular Solution for n-th Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following form P(x)^. ln x and the Characteristic Equation Has a Real Root of Order of Multiplicity n

Vasile Căruţaşu
Vasile Căruţaşu

Published Online: 06 Jul 2022

Volume & Issue: Volume 28 (2022) - Issue 3 (June 2022)

Page range: 32 - 38

Journal & Issue Details

International conference KNOWLEDGE-BASED ORGANIZATION

PDF Preview

References

Recent Articles

International conference KNOWLEDGE-BASED ORGANIZATION

Determining a Particular Solution for n-th Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following form P(x). ln x and the Characteristic Equation Has a Real Root of Order of Multiplicity n

Vasile CăruţaşuVasile Căruţaşu

Published Online: 06 Jul 2022

Volume & Issue: Volume 28 (2022) - Issue 3 (June 2022)

Page range: 32 - 38

Journal & Issue Details

International conference KNOWLEDGE-BASED ORGANIZATION

PDF Preview

References

Recent Articles

Determining a Particular Solution for n-th Order Linear Differential Equations with Constant Coefficients that Have the Free Term in the Following form P(x)^. ln x and the Characteristic Equation Has a Real Root of Order of Multiplicity n

Vasile Căruţaşu
Vasile Căruţaşu