{"id":3221,"date":"2019-02-14T13:06:14","date_gmt":"2019-02-14T18:06:14","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=3221"},"modified":"2025-12-13T09:43:28","modified_gmt":"2025-12-13T14:43:28","slug":"3eva2018tii_t3-edo-d2y-dx2","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva20\/3eva2018tii_t3-edo-d2y-dx2\/","title":{"rendered":"3Eva2018TII_T3 EDO d2y\/dx2"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 12\/Febrero\/2018. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 3<\/strong>. (40 puntos) Dada la ecuaci\u00f3n, el intervalo de x, y las condiciones iniciales.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y'' = 2y'-y +xe^{x} -x <\/span><\/p>\n\n\n\n<p class=\"has-text-align-center\">0 \u2264 x \u2264 2<br>y(0) = 0<br>y(2) = -4<\/p>\n\n\n\n<p>a. Plantear el ejercicio usando las f\u00f3rmulas en diferencias finitas para aproximar las soluciones en los nodos indicados con <strong>h<\/strong> = 0.25<\/p>\n\n\n\n<p>b. Estime el error<\/p>\n\n\n\n<p>c. Con los puntos calculados, construya el trazador c\u00fabico natural<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Plantear malla (5 puntos), plantear m\u00e9todo (5 puntos), desarrollo de la ecuaci\u00f3n (10 puntos), planteo del error (5 puntos), obtenci\u00f3n del trazador (10 puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2018-2019. 12\/Febrero\/2018. MATG1013 Tema 3. (40 puntos) Dada la ecuaci\u00f3n, el intervalo de x, y las condiciones iniciales. 0 \u2264 x \u2264 2y(0) = 0y(2) = -4 a. Plantear el ejercicio usando las f\u00f3rmulas en diferencias finitas para aproximar las soluciones en los nodos indicados con h = 0.25 b. Estime [&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":[28],"tags":[56],"class_list":["post-3221","post","type-post","status-publish","format-standard","hentry","category-mn-3eva20","tag-edo"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3221","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=3221"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3221\/revisions"}],"predecessor-version":[{"id":17687,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3221\/revisions\/17687"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3221"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}