{"id":3144,"date":"2019-01-31T11:42:45","date_gmt":"2019-01-31T16:42:45","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=3144"},"modified":"2025-12-21T07:52:27","modified_gmt":"2025-12-21T12:52:27","slug":"2eva2018tii_t2-edo-d2xdt2-kunge-kutta-2orden","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2018tii_t2-edo-d2xdt2-kunge-kutta-2orden\/","title":{"rendered":"2Eva2018TII_T2 EDO d2x\/dt2 Kunge Kutta 2do Orden"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 29\/Enero\/2019. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (30 puntos) Se tiene una ecuaci\u00f3n diferencial de segundo orden con valores iniciales.<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\frac{\\delta ^2 x}{\\delta t^2} + 5t\\frac{\\delta x}{\\delta t} +(t+7)\\sin (\\pi t) = 0 <\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0&lt;t&lt;2<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x(0)=6,\\frac{\\delta x}{\\delta t}(0) = 1.5<\/span>\n\n\n\n<p>a. Transforme la ecuaci\u00f3n en un sistema de primer orden.<\/p>\n\n\n\n<p>b. Use el m\u00e9todo de Runge-Kutta de orden 2 (modificado de Euler) con h=0.2 para aproximar x para 3 pasos.<\/p>\n\n\n\n<p>c. Estime el error.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a, aplica el cambio de variables (5 puntos).<br>literal b, Conoce una f\u00f3rmula de RK2orden (5 puntos). Plantea la f\u00f3rmula de RK2 orden al sistema (5 puntos). Realiza al menos 3 pasos (5 puntos).<br>literal c, conoce las f\u00f3rmulas del error hasta (5 puntos), calcula el error hasta (5 puntos)<\/p>\n\n\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 29\/Enero\/2019. MATG1013 Tema 2. (30 puntos) Se tiene una ecuaci\u00f3n diferencial de segundo orden con valores iniciales. a. Transforme la ecuaci\u00f3n en un sistema de primer orden. b. Use el m\u00e9todo de Runge-Kutta de orden 2 (modificado de Euler) con h=0.2 para aproximar x para 3 pasos. c. Estime el [&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-3144","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\/3144","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=3144"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3144\/revisions"}],"predecessor-version":[{"id":17450,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3144\/revisions\/17450"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}