<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-23T20:02:40Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/18041" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/18041</identifier><datestamp>2026-10-23T18:33:20Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Multiplicative Cauchy-Euler and Legendre Differential Equation</dc:title><dc:creator>Yalçın, Numan</dc:creator><dc:creator>Çelik, Ercan</dc:creator><dc:subject>Matematik</dc:subject><dc:description>In this study, taking properties of Cauchy-Euler differential equation and Legendre differential equation, which are particular instances of linear differential equations with variable coefficients in classical analysis, as a basis, definitions of multiplicative Cauchy-Euler differential equation and multiplicative Legendre differential equation , which are types of multiplicative linear differential equations in multiplicative analysis, are given and also their solutions are investigated. In addition, multiplicative reduction of order method is given.</dc:description><dc:date>2019</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/18041</dc:identifier><dc:identifier>https://doi.org/10.17714/gumusfenbil.451718</dc:identifier><dc:language>tr</dc:language><dc:relation>Gümüşhane Üniversitesi Fen Bilimleri Dergisi</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/18041</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>