{"id":651,"date":"2017-12-08T15:00:54","date_gmt":"2017-12-08T20:00:54","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=651"},"modified":"2025-12-13T10:39:33","modified_gmt":"2025-12-13T15:39:33","slug":"3eva2008ti_t1-runge-kutta-4to-orden-dydx","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva10\/3eva2008ti_t1-runge-kutta-4to-orden-dydx\/","title":{"rendered":"3Eva2008TI_T1 EDO Runge-Kutta 4to orden dy\/dx"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n I T\u00e9rmino 2008-2009. 16\/Septiembre\/2008. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. Resolver la siguiente ecuaci\u00f3n diferencial usando el m\u00e9todo de <strong>Runge-Kutta<\/strong> de 4to orden:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x\\frac{\\delta y}{\\delta x} + xy = 1-y <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y(1) = 0<\/span>\n\n\n\n<p>a. Plantee la funci\u00f3n f(x,y) de la ecuaci\u00f3n dada para usar con el m\u00e9todo requerido.<\/p>\n\n\n\n<p>b. Desarrolle el algoritmo de Runge-Kutta para la <strong>i<\/strong>-\u00e9sima iteraci\u00f3n con la funci\u00f3n f(x,y) definida en el literal a.<\/p>\n\n\n\n<p>c. Realice tres iteraciones para el algoritmo usando&nbsp;<strong>h<\/strong> = 0.2,&nbsp;presente la tabla de resultados.<\/p>\n\n\n\n<p>d. Realice la gr\u00e1fica con los resultados obtenidos. Observe sus resultados.<\/p>\n\n\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n I T\u00e9rmino 2008-2009. 16\/Septiembre\/2008. ICM00158 Tema 1. Resolver la siguiente ecuaci\u00f3n diferencial usando el m\u00e9todo de Runge-Kutta de 4to orden: a. Plantee la funci\u00f3n f(x,y) de la ecuaci\u00f3n dada para usar con el m\u00e9todo requerido. b. Desarrolle el algoritmo de Runge-Kutta para la i-\u00e9sima iteraci\u00f3n con la funci\u00f3n f(x,y) definida en el literal [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[56],"class_list":["post-651","post","type-post","status-publish","format-standard","hentry","category-mn-3eva10","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/651","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=651"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/651\/revisions"}],"predecessor-version":[{"id":17758,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/651\/revisions\/17758"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}