{"id":1029,"date":"2018-02-09T07:30:41","date_gmt":"2018-02-09T12:30:41","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=1029"},"modified":"2025-12-13T03:22:03","modified_gmt":"2025-12-13T08:22:03","slug":"2eva2017tii_t1-edo-runge-kutta-2do-orden-d2ydx2","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2017tii_t1-edo-runge-kutta-2do-orden-d2ydx2\/","title":{"rendered":"2Eva2017TII_T1 EDO Runge Kutta 2do Orden d2y\/dx2"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2017-2018. Febrero 7, 2018. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. Use el m\u00e9todo de Runge Kutta de 2do orden (Euler Mejorado) para sistemas de ecuaciones y aproxime la soluci\u00f3n de la EDO de orden superior<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\frac{d^2\\theta}{dt^2} + \\frac{g}{L}\\sin (\\theta) = 0 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\theta (0) = \\frac{\\pi}{6}, \\theta '(0) =0 <\/span>\n\n\n\n<p>Suponga que g=9.8 y L=2<\/p>\n\n\n\n<p>a) Plantee la formulaci\u00f3n para 0 \u2264t\u22642, h=0.1<\/p>\n\n\n\n<p>b) Calcule el \u00e1ngulo para t=1, usando h=0.25<\/p>\n\n\n\n<p>c) Estime el error (solo la f\u00f3rmula del error para Euler Mejorado)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2017-2018. Febrero 7, 2018. MATG1013 Tema 1. Use el m\u00e9todo de Runge Kutta de 2do orden (Euler Mejorado) para sistemas de ecuaciones y aproxime la soluci\u00f3n de la EDO de orden superior Suponga que g=9.8 y L=2 a) Plantee la formulaci\u00f3n para 0 \u2264t\u22642, h=0.1 b) Calcule el \u00e1ngulo para t=1, [&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":[20],"tags":[56],"class_list":["post-1029","post","type-post","status-publish","format-standard","hentry","category-mn-2eva20","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1029","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=1029"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1029\/revisions"}],"predecessor-version":[{"id":17423,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1029\/revisions\/17423"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}