{"id":6464,"date":"2024-11-21T12:16:31","date_gmt":"2024-11-21T18:16:31","guid":{"rendered":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/?page_id=6464"},"modified":"2025-12-02T13:21:01","modified_gmt":"2025-12-02T19:21:01","slug":"m2l26","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/lecciones-m2\/m2l26\/","title":{"rendered":"m2l26"},"content":{"rendered":"\n<h2>Lecci\u00f3n 26. <\/h2>\n\n\n\n<h1>\u00bfPor qu\u00e9 y para qu\u00e9?<\/h1>\n\n\n\n<p>Las ecuaciones diferenciales son \u00fatiles para resolver problemas pr\u00e1cticos de ingenier\u00eda, biolog\u00eda, f\u00edsica y qu\u00edmica; as\u00ed como problemas puramente matem\u00e1ticos, geom\u00e9tricos y de ciencia en general.<\/p>\n\n\n\n<p>Desde luego, dado el car\u00e1cter introductorio del curso de ecuaciones diferenciales y su orientaci\u00f3n, los temas abordados tendr\u00e1n estas dos caracter\u00edsticas, las cuales ser\u00e1n percibidas a medida se avance en el curso.<\/p>\n\n\n\n<p>Expresiones que traducidas generan una ecuaci\u00f3n diferencial y que, de alguna manera, expresan una ley o una propiedad.<\/p>\n\n\n\n<ul>\n<li>Las cantidades que var\u00edan a una velocidad proporcional a su tama\u00f1o.<\/li>\n\n\n\n<li>Cambio de rapidez de una magnitud que aumenta por unas causas y disminuye por otras.<\/li>\n\n\n\n<li>Fuerzas que producen movimientos.<\/li>\n\n\n\n<li>El ritmo al que cambia la temperatura de un objeto es proporcional a la diferencia entre su propia temperatura y la del medio que lo rodea.<\/li>\n\n\n\n<li>La concentraci\u00f3n del soluto dentro de una c\u00e9lula cambia a un ritmo que es contundentemente proporcional al \u00e1rea de la pared celular y a la diferencia de la concentraci\u00f3n del soluto dentro y fuera de la c\u00e9lula.<\/li>\n\n\n\n<li>El az\u00facar se disuelve a un ritmo proporcional a la cantidad de az\u00facar sin disolver que queda en el contenedor.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-363.png?w=819\" alt=\"\" class=\"wp-image-1576\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-364.png?w=823\" alt=\"\" class=\"wp-image-1577\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-365.png?w=435\" alt=\"\" class=\"wp-image-1579\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-366.png?w=802\" alt=\"\" class=\"wp-image-1580\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-367.png?w=761\" alt=\"\" class=\"wp-image-1581\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-368.png?w=826\" alt=\"\" class=\"wp-image-1582\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-369.png?w=822\" alt=\"\" class=\"wp-image-1584\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-370.png?w=772\" alt=\"\" class=\"wp-image-1585\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-371.png?w=824\" alt=\"\" class=\"wp-image-1586\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-372.png?w=807\" alt=\"\" class=\"wp-image-1588\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-373.png?w=816\" alt=\"\" class=\"wp-image-1589\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-374.png?w=825\" alt=\"\" class=\"wp-image-1590\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-375.png?w=835\" alt=\"\" class=\"wp-image-1592\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-376.png?w=830\" alt=\"\" class=\"wp-image-1593\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-377.png?w=835\" alt=\"\" class=\"wp-image-1594\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-378.png?w=818\" alt=\"\" class=\"wp-image-1595\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-379.png?w=812\" alt=\"\" class=\"wp-image-1597\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-380.png?w=464\" alt=\"\" class=\"wp-image-1598\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-381.png?w=827\" alt=\"\" class=\"wp-image-1599\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-382.png?w=806\" alt=\"\" class=\"wp-image-1601\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-383.png?w=821\" alt=\"\" class=\"wp-image-1602\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-384.png?w=815\" alt=\"\" class=\"wp-image-1603\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-385.png?w=813\" alt=\"\" class=\"wp-image-1605\" \/><\/figure>\n\n\n\n<h2 id=\"tarea-resuelta\">TAREA RESUELTA<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-386.png?w=818\" alt=\"\" class=\"wp-image-1609\" \/><\/figure>\n\n\n\n<h2 id=\"solucion\">SOLUCI\u00d3N<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-387.png?w=820\" alt=\"\" class=\"wp-image-1611\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-388.png?w=833\" alt=\"\" class=\"wp-image-1612\" \/><\/figure>\n\n\n\n<h2 id=\"tarea-1\">TAREA<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2022\/02\/image-389.png?w=824\" alt=\"\" class=\"wp-image-1614\" \/><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/m2\/m2l27\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/paramate2.wordpress.com\/wp-content\/uploads\/2021\/02\/5e95d-siguiente.png?w=533\" alt=\"\" class=\"wp-image-302\" width=\"177\" height=\"131\" \/><\/a><\/figure><\/div>","protected":false},"excerpt":{"rendered":"<p>Lecci\u00f3n 26. \u00bfPor qu\u00e9 y para qu\u00e9? Las ecuaciones diferenciales son \u00fatiles para resolver problemas pr\u00e1cticos de ingenier\u00eda, biolog\u00eda, f\u00edsica y qu\u00edmica; as\u00ed como problemas puramente matem\u00e1ticos, geom\u00e9tricos y de ciencia en general. Desde luego, dado el car\u00e1cter introductorio del curso de ecuaciones diferenciales y su orientaci\u00f3n, los temas abordados tendr\u00e1n estas dos caracter\u00edsticas, las &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/lecciones-m2\/m2l26\/\" class=\"more-link\">Contin\u00faa leyendo <span class=\"screen-reader-text\">m2l26<\/span><\/a><\/p>\n","protected":false},"author":123458,"featured_media":0,"parent":7208,"menu_order":26,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/6464"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/users\/123458"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/comments?post=6464"}],"version-history":[{"count":2,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/6464\/revisions"}],"predecessor-version":[{"id":6490,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/6464\/revisions\/6490"}],"up":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/7208"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/media?parent=6464"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}