<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1794-1237</journal-id>
<journal-title><![CDATA[Revista EIA]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.EIA.Esc.Ing.Antioq]]></abbrev-journal-title>
<issn>1794-1237</issn>
<publisher>
<publisher-name><![CDATA[Escuela de ingenieria de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-12372018000100059</article-id>
<article-id pub-id-type="doi">10.24050/reia.v15i29.1140</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[LOS OBSTÁCULOS EPISTEMOLÓGICOS EN EL DESARROLLO HISTÓRICO DE LAS ECUACIONES DIFERENCIALES ORDINARIAS]]></article-title>
<article-title xml:lang="en"><![CDATA[EPISTEMOLOGICAL OBSTACLES IN THE HISTORICAL DEVELOPMENT OF ORDINARY DIFFERENTIAL EQUATIONS]]></article-title>
<article-title xml:lang="pt"><![CDATA[OBSTÁCULOS EPISTEMOLÓGICOS NO DESENVOLVIMENTO HISTÓRICO DAS EQUAÇÕES DIFERENCIAIS ORDINÁRIAS]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Recalde]]></surname>
<given-names><![CDATA[Luis Cornelio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Henao]]></surname>
<given-names><![CDATA[Sara Marcela]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Valle Área Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Javeriana  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2018</year>
</pub-date>
<volume>15</volume>
<numero>29</numero>
<fpage>59</fpage>
<lpage>70</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-12372018000100059&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-12372018000100059&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-12372018000100059&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN El objetivo de este artículo es presentar algunas reflexiones, históricas y epistemológicas, que emergen como resultado de una investigación desarrollada en torno a la constitución histórica de las ecuaciones diferenciales ordinarias. Se tomaron como unidades de análisis, resultados publicados en el volumen 22 de Opera Omnia y en Acta Eruditorum, entre finales del siglo XVII y mediados del siglo XVIII. Se muestra que las ecuaciones diferenciales ordinarias surgen como producto de dos eventos; el primero vinculado con algunos problemas de la física que se modelaron mediante ecuaciones diferenciales ordinarias, y el segundo relacionado con los diversos métodos analíticos provenientes del cálculo. El análisis histórico realizado, permitió identificar algunos obstáculos epistemológicos, los cuales se tomaron como referencia para concluir con una reflexión didáctica.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT The proposite of this article is to present some historical and epistemological reflections that emerge as a result of a research developed around the historical constitution of the ordinary differential equations. As units of analysis were taken the volume 22 of the Opera Omnia and Acta Eruditorum, between the end of the 17th century and the mid-eighteenth century. It is shown that ordinary differential equations arise as a product of two events; The first related to some problems of physics that were modeled by ordinary differential equations, and the second related to the various analytical methods derived from the calculation. The historical analysis, made it possible to identify some epistemological obstacles, which were taken as reference for conclude with a didactic reflection.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO O objetivo deste artigo é apresentar algumas reflexões, históricos e epistemológicos, surgindo como resultado de uma pesquisa conduzida em torno da constituição histórica de equações diferenciais ordinárias. Eles foram tomados como unidades de análise, publicado no volume 22 da Opera Omnia e Acta Eruditorum entre os resultados do final do século XVII e meados do XVIII. Ele mostra que as equações diferenciais ordinárias surgir como um produto de dois eventos; o primeiro ligado a alguns problemas da física que foram modelados por equações diferenciais ordinárias, e a segunda para os vários métodos analíticos do cálculo. A análise histórica permitiu identificar alguns obstáculos epistemológicos, que foram referenciados para concluir com uma reflexão didática.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Ecuaciones diferenciales ordinarias]]></kwd>
<kwd lng="es"><![CDATA[historia]]></kwd>
<kwd lng="es"><![CDATA[obstáculo epistemológico]]></kwd>
<kwd lng="es"><![CDATA[cálculo]]></kwd>
<kwd lng="en"><![CDATA[Ordinary differential equations]]></kwd>
<kwd lng="en"><![CDATA[history]]></kwd>
<kwd lng="en"><![CDATA[epistemological obstacle]]></kwd>
<kwd lng="en"><![CDATA[calculation]]></kwd>
<kwd lng="pt"><![CDATA[equações diferenciais ordinárias]]></kwd>
<kwd lng="pt"><![CDATA[história]]></kwd>
<kwd lng="pt"><![CDATA[cálculo obstáculo epistemológico]]></kwd>
</kwd-group>
</article-meta>
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