{"id":770,"date":"2017-11-10T17:05:03","date_gmt":"2017-11-10T22:05:03","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=770"},"modified":"2025-12-12T11:23:08","modified_gmt":"2025-12-12T16:23:08","slug":"2eva2010tii_t2-calcular-volumen","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva10\/2eva2010tii_t2-calcular-volumen\/","title":{"rendered":"2Eva2010TII_T2 Calcular volumen"},"content":{"rendered":"\n

2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 1\/Febrero\/2011. ICM00158<\/h2>\n\n\n\n

Tema 2<\/strong>. Calcule el volumen<\/p>\n\n\n \\int\\int u(x,y) \\delta x \\delta y <\/span>\n\n\n\n

en el que u(x,y) est\u00e1 definido con la ecuaci\u00f3n diferencial<\/p>\n\n\n \\frac{\\delta ^2 u}{\\delta x^2} + \\frac{\\delta ^2 u}{\\delta y^2} = 4 <\/span>\n\n\n\n

\n
u = u(x,y)<\/span>\n<\/div>\n\n\n\n
0\\leq x \\leq 2<\/span>\n<\/div>\n\n\n\n
0 \\leq y \\leq 1 <\/span>\n<\/div>\n<\/div>\n\n\n\n

con las condiciones en los bordes:<\/p>\n\n\n\n

\n
u(2,y) = 50 <\/span>\n\n\n u(0,y) = 40 <\/span>\n\n\n0< y <1 <\/span>\n<\/div>\n\n\n\n
u(x,0) = 40 + 5x <\/span>\n\n\n u(x,1) = 40 + 5x <\/span>\n\n\n0< x <2<\/span>\n<\/div>\n<\/div>\n\n\n\n

Use el m\u00e9todo de diferencias finitas para resolver la ecuaci\u00f3n diferencial y la f\u00f3rmula de Simpson para calcular el integral. En todos los c\u00e1lculos use \u0394x = \u0394y = 0.5<\/p>\n","protected":false},"excerpt":{"rendered":"

2da Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 1\/Febrero\/2011. ICM00158 Tema 2. Calcule el volumen en el que u(x,y) est\u00e1 definido con la ecuaci\u00f3n diferencial con las condiciones en los bordes: Use el m\u00e9todo de diferencias finitas para resolver la ecuaci\u00f3n diferencial y la f\u00f3rmula de Simpson para calcular el integral. En todos los c\u00e1lculos use \u0394x = […]<\/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":[17],"tags":[59],"class_list":["post-770","post","type-post","status-publish","format-standard","hentry","category-mn-2eva10","tag-integracion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/770","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=770"}],"version-history":[{"count":10,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/770\/revisions"}],"predecessor-version":[{"id":17328,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/770\/revisions\/17328"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=770"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=770"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=770"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}