{"id":101,"date":"2017-11-27T13:40:06","date_gmt":"2017-11-27T12:40:06","guid":{"rendered":"http:\/\/clases.jesussoto.es\/?p=101"},"modified":"2017-11-28T11:40:42","modified_gmt":"2017-11-28T10:40:42","slug":"efm-no-homogenea-con-solucion-particular-polinomica","status":"publish","type":"post","link":"https:\/\/curso17.jesussoto.es\/?p=101","title":{"rendered":"EFM: No homogenea con soluci\u00f3n particular polin\u00f3mica"},"content":{"rendered":"<p>En esta sesi\u00f3n de hoy hemos abordado el problema de una ED no homog\u00e9nea donde la componente no homog\u00e9nea es polin\u00f3mica. En tal caso la soluci\u00f3n particular ser\u00e1 de la forma $$y_p=x^sQ(x)$$<\/p>\n<p>donde <em>Q(x)<\/em> es un polinomio del mismo grado que la componente no homog\u00e9nea, y <em>x<sup>s<\/sup><\/em> es el factor que depender\u00e1 de la ra\u00edz de la ecuaci\u00f3n caracter\u00edstica.<\/p>\n<p>&nbsp;<\/p>\n<table id=\"yzpi\" width=\"677\" border=\"0\" cellspacing=\"0\" cellpadding=\"3\" bgcolor=\"#999999\">\n<tbody>\n<tr>\n<td width=\"100%\"><strong>Ejercicio:<\/strong> Encontrar <em>y<sub>p<\/sub><\/em> dada la ecuaci\u00f3n <em>y&#8221;+2y&#8217;+4y=5x<sup>4<\/sup>+3x<sup>2<\/sup>-x <\/em>. (sol: <em>3x<sup>4<\/sup>\/4-5x<sup>3<\/sup>\/2+3x<sup>2<\/sup>\/4+11x\/4-7\/4<\/em>)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>En esta sesi\u00f3n de hoy hemos abordado el problema de una ED no homog\u00e9nea donde la componente no homog\u00e9nea es polin\u00f3mica. En tal caso la soluci\u00f3n particular ser\u00e1 de la forma $$y_p=x^sQ(x)$$ donde Q(x) es un polinomio del mismo grado que la componente no homog\u00e9nea, y xs es el factor que depender\u00e1 de la ra\u00edz&hellip; <a class=\"more-link\" href=\"https:\/\/curso17.jesussoto.es\/?p=101\">Seguir leyendo <span class=\"screen-reader-text\">EFM: No homogenea con soluci\u00f3n particular polin\u00f3mica<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[],"_links":{"self":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/101"}],"collection":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=101"}],"version-history":[{"count":1,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/101\/revisions"}],"predecessor-version":[{"id":102,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=\/wp\/v2\/posts\/101\/revisions\/102"}],"wp:attachment":[{"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/curso17.jesussoto.es\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}