{"id":953,"date":"2017-12-17T07:54:44","date_gmt":"2017-12-17T12:54:44","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=953"},"modified":"2025-12-13T03:17:01","modified_gmt":"2025-12-13T08:17:01","slug":"2eva2017ti_t2-edo-valor-de-frontera","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2017ti_t2-edo-valor-de-frontera\/","title":{"rendered":"2Eva2017TI_T2 EDO valor de frontera"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2017-2018. 28\/Agosto\/2017. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (40 puntos)<\/p>\n\n\n\n<p>a) Usando un <strong>polinomio de grado dos<\/strong> obtenga una f\u00f3rmula central para la primera derivada y otra para la segunda derivada <br>(la tabla tiene al menos 3 nodos, x<sub>i-1<\/sub>, x<sub>i<\/sub>, x<sub>i+1<\/sub> )<\/p>\n\n\n\n<p>b) Use el m\u00e9todo de diferencias finitas para aproximar la soluci\u00f3n al siguiente problema con valor de frontera:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y'' = -3y'+2y+2x+3 <\/span>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">0 \u2264 x \u2264 1<\/p>\n\n\n\n<p class=\"has-text-align-center\">h = 0.25<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">y(0) = 2<\/p>\n\n\n\n<p class=\"has-text-align-center\">y(1) = 1<\/p>\n<\/div>\n<\/div>\n\n\n\n<p>c) Estime el error<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Plantear un polinomio hasta 5 puntos, deducir la f\u00f3rmula de la primera derivada hasta 5 puntos, deducir la f\u00f3rmula de la segunda derivada hasta 5 puntos, plantear el error en las f\u00f3rmulas hasta 5 puntos. Indicar los nodos en el intervalo hasta 5 puntos, plantear la ecuaci\u00f3n en el nodo i hasta 5 puntos, resolver el sistema hasta 5 puntos y estimar el error hasta 5 puntos.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2017-2018. 28\/Agosto\/2017. MATG1013 Tema 2. (40 puntos) a) Usando un polinomio de grado dos obtenga una f\u00f3rmula central para la primera derivada y otra para la segunda derivada (la tabla tiene al menos 3 nodos, xi-1, xi, xi+1 ) b) Use el m\u00e9todo de diferencias finitas para aproximar la soluci\u00f3n al [&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-953","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\/953","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=953"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/953\/revisions"}],"predecessor-version":[{"id":17416,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/953\/revisions\/17416"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}